Find the slope and y intercept of the graph of the equation.
42)
y = – 2x +5
42)
A)
Slope =5, y intercept = – 2
B)
Slope = – 2, y intercept =5
C)
Slope =2, y intercept = – 5
D)
Slope = – 5, y intercept = – 2
Provide an appropriate response.
43)
Write the equation of a line that passes through (–1, 4) and (5, –1). Write the final answer in the
form Ax + By = C where A, B, and C are integers with no common divisors (other than ±1) and
A > 0.
43)
A)
5x – 6y = 19
B)
5x + 6y = – 19
C)
5x + 6y = 19
D)
–5x + 6y = 19
Solve the inequality and graph. Express your answer in interval notation.
44)
–4(-2 – x) <6x +19 –11 – 2x
44)
A)
(–, )
B)
C)
(–, 0)
D)
(–, 8)
Write an equation of the line with the indicated slope and y intercept.
45)
Slope = – 1
2; y intercept =6
45)
A)
y =x
2+ 6
B)
y =6x +1
2
C)
y =6x –1
2
D)
y = – x
2+ 6
Solve the problem.
46)
At a local grocery store the demand for ground beef is approximately 50 pounds per week when
the price per pound is $4, but is only 40 pounds per week when the price rises to $5.50 per pound.
Assuming a linear relationship between the demand x and the price per pound p, express the price
as a function of demand. Use this model to predict the demand if the price rises to $5.80 per pound.
46)
A)
p = – 0.15x + 11.5; 38 pounds
B)
p = 11.5x + – 0.15; 40 pounds
C)
p = – 0.15x – 11.5; 40 pounds
D)
p = 0.15x + 11.5; 38 pounds
Use the REGRESSION feature on a graphing calculator.
47)
The use of bottled water in the United States has shown a steady increase in recent years. The table
shows the annual per capita consumption for the years 1995 – 2001.
Year 1995 1996 1997 1998 1999 2000 2001
Gallons/person 4.4 5.1 5.7 6.4 7.3 8.0 10.2
With x being the years since 1995, find the linear function that represents this data. Round your
answer to two decimal places.
47)
A)
y = 0.1x2+ 0.29x + 4.57
B)
y = 0.04x3– 0.23x2+ 1.01x + 4.35
C)
y = 0.89x + 4.07
D)
y = 4.07x + 0.89
Provide an appropriate response.
48)
Find the standard form of the equation of the line with slope of –2
7 and passing through (4, 4).
48)
A)
2x + 7y = – 36
B)
2x – 7y = 36
C)
2x + 7y = 36
D)
7x + 2y = – 36
Graph the linear equation and determine its slope, if it exists.
49)
3x + 5y = 11
49)
A)
slope: 3
4
B)
slope: –3
4
C)
slope: 3
4
D)
slope: –3
4
17
Determine whether the slope of the line is positive, negative, zero, or undefined.
50)
50)
A)
zero
B)
positive
C)
undefined
D)
negative
Solve the problem.
51)
The cost of manufacturing a computer part is related to the quantity produced, x, during a
production run. When 100 parts are produced, the cost is $300. When 600 parts are produced, the
cost is $4800. Find an equation of the line relating quantity produced to cost. Write the final answer
in the form C = mx + b.
51)
A)
C = 600x + 9
B)
C = 9x – 600
C)
C = 9x + 600
D)
C = 9x
Provide an appropriate response.
52)
Write the equation of the line in the following graph.
52)
A)
f(x) =1
3x – 1
B)
f(x) = – 1
3x + 1
C)
f(x) =1
3x + 1
D)
f(x) = – 1
3x – 1
D)
Use the REGRESSION feature on a graphing calculator.
53)
The paired data below consists of the temperature on randomly chosen days and the amount of a
certain kind of plant grew (in millimeters).
Temp, x 62 76 50 51 71 46 51 44 79
Growth, y 36 39 50 13 33 33 17 6 16
Find the linear function that predicts a plant’s growth as a function of the temperature. Round your
answer to two decimal places.
53)
A)
y = 14..57x + 0.21
B)
y = 0.21x + 14.57
C)
y = – 0.06 x2+ 7.20x – 191.23
D)
y = – 9.19x3+ 0.11x2– 2.90x + 6.54
D)
Write the slope–intercept equation (y = mx +
b) for a line with the given characteristics.
54)
m = 3, passing through (1, –2)
54)
A)
y = 3x
B)
y = 5x – 3
C)
y = 3x – 5
D)
y – 5 = 3x
D)
Solve the problem.
55)
A small company that makes hand–sewn leather shoes has fixed costs of $320 a day, and total costs
of $1200 per day at an output of 20 pairs of shoes per day. Assume that total cost C is linearly
related to output x. Find an equation of the line relating output to cost. Write the final answer in the
form C = mx + b.
55)
A)
C = 44x + 1520
B)
C = 60x + 1520
C)
C = 60x + 320
D)
C = 44x + 320
Write the slope–intercept equation (y = mx +
b) for a line with the given characteristics.
56)
m = – 4, y–intercept (0, –7)
56)
A)
y = – 4x
B)
4x + y = – 7
C)
y = – 4x – 7
D)
y = – 7x – 4
Solve the problem.
57)
Using a phone card to make a long distance call costs a flat fee of $0.85 plus per $0.19 minute
starting with the first minute. Find the total cost of a phone call which lasts 8 minutes.
57)
A)
$6.00
B)
$8.16
C)
$1.52
D)
$2.37
58)
The cost for labor associated with fixing a washing machine is computed as follows: There is a fixed
charge of $25 for the repairman to come to the house, to which a charge of $20 per hour is added.
Find an equation that can be used to determine the labor cost, C, of a repair that takes x hours.
Write the final answer in the form C = mx + b.
58)
A)
C = – 20x + 25
B)
C = 25x + 20
C)
C = 45x
D)
C = 20x + 25
Use the REGRESSION feature on a graphing calculator.
59)
In the table below, x represents the number of years since 2000 and y represents sales (in thousands
of dollars) of a clothing company. Use the regression equation to estimate sales in the year 2006.
Round to the nearest thousand dollars.
Year x 1 2 3 4 5
Sales y 84 76 39 30 26
59)
A)
$14,000
B)
$8,000
C)
$20,000
D)
$2,000
Solve the problem.
60)
Assume that the price per unit d of a certain item to the consumer is given by the equation
d = 35 – .10x, where x is the number of units in demand. The price per unit from the supplier is
given by the equation s = .2x + 20, where x is the number of units supplied. Find the equilibrium
price and the equilibrium quantity.
60)
A)
equilibrium price: $50 per unit; equilibrium quantity: 30 units
B)
equilibrium price: $20 per unit; equilibrium quantity: 50 units
C)
equilibrium price: $35 per unit; equilibrium quantity: 50 units
D)
equilibrium price: $30 per unit; equilibrium quantity: 50 units
Use the graph to find the average rate of change.
61)
61)
A)
– 3
2
B)
3
2
C)
2
3
D)
– 2
3
Provide an appropriate response.
62)
Find the slope of the line 3x + 4y = 11.
62)
A)
–3
4
B)
–4
3
C)
3
4
D)
0
A
Find the slope of the line containing the given points.
63)
(–5, 2) and (0, 2)
63)
A)
5
2
B)
–5
2
C)
0
D)
Undefined
C
A
Provide an appropriate response.
64)
Use the graph to find the slope, x–intercept and y–intercept of the line.
64)
A)
slope = 1
x–intercept = (0, 7)
y–intercept = (–7, 0)
B)
slope = – 1
x–intercept = (7, 0)
y–intercept = (0, –7)
C)
slope = 1
x–intercept = (7, 0)
y–intercept = (0, –7)
D)
slope = – 1
x–intercept = (–7, 0)
y–intercept = (0, 7)
Use the graph to find the average rate of change.
65)
65)
A)
-6
B)
1
C)
6
D)
–1
Solve the problem. Express your answer as an integer or simplified fraction.
66)
x
16 –5
8=x + 6
8
66)
A)
– 22
B)
– 11
C)
– 16
D)
– 17
Solve the problem.
67)
Suppose the sales of a particular brand of MP3 player satisfy the relationship S = 200x + 3800,
where S represents the number of sales in year x, with x = 0 corresponding to 2002 . Find the
number of sales in 2005.
67)
A)
12,600
B)
6400
C)
4200
D)
4400
Determine whether the slope of the line is positive, negative, zero, or undefined.
68)
68)
A)
negative
B)
zero
C)
positive
D)
undefined
Provide an appropriate response.
69)
Find the standard form of the equation of the line passing through the two points.
(2, – 6) and (– 9, 6)
69)
A)
12x + 11y = – 42
B)
– 12x + 11y = – 42
C)
8x – 15y = – 18
D)
– 8x + 15y = – 18
Find the slope of the line containing the given points.
70)
(6, 1) and (6, – 4)
70)
A)
–1
4
B)
0
C)
– 4
D)
Undefined
D
Provide an appropriate response.
71)
Graph the linear function defined by f(x) =2
3x + 2 and indicate the slope and intercepts.
71)
A)
x–intercept = 3; y–intercept = – 2; slope 2
3
B)
x–intercept = – 3; y–intercept = 2; slope 2
3
25
A
C)
x–intercept = 2; y–intercept = – 3; slope 2
3
D)
x–intercept = – 2; y–intercept = 3; slope 2
3
Answer Key
Testname: C1
Answer Key
Testname: C1