Evaluate Linear Functions
Independent/Dependent Variables
100

solve for r

r+5=6

r=1


100

This equation shows how the cost of a cab ride depends on the distance in miles.


c = 3d

The variable d represents the number of miles driven, and the variable c represents the cost in dollars. If a cab ride is 2 miles long, how much will it cost?


c = 6


100

The entire high school marching band is going on a field trip. The number of parent chaperones required depends on how many students are going, according to school district policy.


p = the number of parent chaperones required on the trip
s = the number of band students on the trip

Which variable is the dependent variable?

p = the dependent Variables

200

2q=10

solve for q 

q=5


200

This equation shows how the amount of cheese Max has left is related to the number of sandwiches he makes.


c = –2s + 13

The variable s represents the number of sandwiches he makes, and the variable c represents the amount of cheese remaining. If Max makes 3 sandwiches, how many pieces of cheese will he have left?


c = 7

200

The Harrison Coffee House brews fresh-roasted coffee beans to serve to their patrons. The more patrons they have in a day, the more coffee they will need to brew.


p = the number of patrons

c = the amount of coffee they will need to brew

Which variable is the independent variable?









P = Independent


300

solve for u

u -3 = 4


u = 7


300

This equation shows how the accuracy of Paul's watch is related to how long it's been since he last set it.


s = d + 12

The variable d represents the number of days passed since Paul last set his watch, and the variable s represents how many seconds behind the watch is. How many days has it been since Paul last set his watch if the watch is 20 seconds behind?


s = 8

300

Bryant owns a jewelry shop and sells, among other things, diamond rings. He has a chart that shows how the cost of a diamond corresponds to its size. The bigger the diamond, the greater its cost.


s = the size of a diamond

c = the cost of a diamond

Which variable is the independent variable?











c = Independent


400

solve for j

3j = –12

-4

400

This equation shows how the total number of hair bands Naomi owns is related to the amount of money she spends on additional hair bands.


h = 9d

The variable d represents the amount of money she spends on additional hair bands, and the variable h represents the total number of hair bands she owns. How much money does Naomi need to spend on new hair bands in order to own a total of 18 hair bands?

h = $2


500

Solve for t.

t/2 = 2

t = 4

500

This equation shows how the time required to screen-print a batch of shirts is related to the number of shirts in the batch.


t = s + 2

The variable s represents the number of shirts in the batch, and the variable t represents the time required to screen-print the shirts. How long does it take to screen-print a batch of 8 shirts?

t = 10