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1.
y is directly proportional to x and y is 17.5 when x is 5.
Find a formula to describe y as a function of x.
2.
y is directly proportional to x and y is 20.8 when x is 4.
A) Find a formula to describe y as a function of x.
B) Use the formula to find y when x is 12.
3.
The distance traveled (in miles), D, is directly proportional to time traveled (in minutes),
t.
If you traveled 16.8 miles in 21 minutes, find a formula that gives D as a function of t.
4.
The distance traveled (in miles), D, is directly proportional to time traveled (in minutes),
t.
If you traveled 18 miles in 20 minutes,
A) find a formula that yields D as a function of t.
B) Now use the formula to find your distance traveled (in miles) if you’ve traveled for
100 minutes.
5.
The distance traveled (in miles), D, is directly proportional to time traveled (in minutes),
t.
If you traveled 19.2 miles in 24 minutes, find your distance traveled (in miles) if you’ve
traveled for 53 minutes.
6.
Find the equation of the line for the following set of conditions.
The line is a vertical line that passes through the point (–5,2).
7.
Find the equation of the line for the following set of conditions.
The line is a horizontal line that passes through the point (9,–6).
8.
Find the equation for the line that contains the point (–2,2) and is parallel to the line y =
1 – 7x.
Write your answer in slope-intercept form.
y b mx=+
9.
Find the equation for the line that contains the point (2,2) and is perpendicular to the
line
1– 0.25yx=
.
Write your answer in slope-intercept form.
y b mx=+
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10.
Determine whether the two lines are parallel.
7 – 2 –8xy=
and
–3 – 5 –4xy=
A)
They are NOT parallel.
B)
They are parallel.
11.
Determine whether the two lines are perpendicular.
–8 – 3 7xy=
and
A)
They are NOT perpendicular.
B)
They are perpendicular.
12.
The amount of weight that can be lifted by a simple machine is directly proportional to
the the amount of force applied to the machine. If the machine is able to lift 132.25
pounds when a force of 23 pounds is applied, find the equation for this relationship.
13.
The amount of weight that can be lifted by a simple machine is directly proportional to
the the amount of force applied to the machine. If the machine is able to lift 308.75
pounds when a force of 65 pounds is applied, how many pounds can be lifted when a
force of 106 pounds is applied?
14.
The amount of weight that can be lifted by a simple machine is directly proportional to
the the amount of force applied to the machine. If the machine is able to lift 246
pounds when a force of 41 pounds is applied, how much force would need to be applied
in order to lift a weight of 894 pounds?
15.
The joint plates of a wooden truss require 1 nail for every 30 pounds of stress on the
joint. How many pounds can a joint with 28 nails in the joint plate hold?
16.
The joint plates of a wooden truss require 1 nail for every 40 pounds of stress on the
joint. How many nails would be required in a joint that holds 440 pounds of stress?
17.
The number of nails required to hold the joint plates of a truss is directly proportional to
the pounds of stress on the joint. If a joint carrying 600 pounds of stress requires 24
nails in the plate, how many nails are required to plate a joint carrying 825 pounds of
stress?
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18.
The number of nails required to hold the joint plates of a truss is directly proportional to
the pounds of stress on the joint. If a joint carrying 874 pounds of stress requires 23
nails in the plate, how many pounds of stress can be carried by a joint with 35 nails in
the plate?
19.
Write the equation of the line parallel to
4
35
yx=+
and goes through the point (3, –2).
20.
Write the equation of the line perpendicular to
5
62
yx=−
and goes through the point
(2, 8).
21.
Find the slope of the line shown.
22.
Find the slope of the line shown.
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Answer Key