Download 16 Linear and Exponential Models

Name ____________________________________________________
Math 8A Period ____
Date ________________________________________
HW # ______ Linear & Exponential Models
1) Ryan has a dog walking business. He has two
d) Complete a GRAPH for each situation.
plans.
Plan 1 - includes walking a dog once a day for a
rate of $5/day.
Plan 2 - also includes one walk a day, but charges
1 cent for 1 day, 2 cents for 2 days, 4 cents for
3 days, 8 cents for 4 days, and continues to double
for each additional day.
Mr. Cohen needs Ryan to walk his dog every day
for two weeks. Which plan should he choose?
a) Complete a table of values for each situation.
PLAN 1
PLAN 2
b) Which plan is linear? ________________
c) Which plan is exponential? ______________
2) Determine whether the data below is describing a linear or exponential function or neither.
Give a reason for your answer using a complete sentence.
a)
b)
c)
x
f(x)
x
f(x)
x
f(x)
1
1/2
1
1.4
2
1/4
2
2.5
3
1/8
3
3.6
4
1/16
4
4.7
5
1/32
5
5.8
over
1
-1
2
0
3
2
4
5
3) Michael purchased a box of green tea mints. The nutrition label on the box stated that a serving of
three mints contains a total of 10 calories.
a) On the axes below, graph the function, C, where C (x) represents the number of calories in x mints.
b) Write an equation that represents C (x). ____________________________
c) A full box of mints contains 180 Calories. Use the equation to determine the total number of
mints in the box.
4) Solve and check:
12 = -4(-6x – 3)
6) Solve for x and y.
5x + y = 9
10x – 7y = -18
5) Solve and check:
check
–(1 + 7y) – 6(–7 – y) = 36
7) Check your answer from #6.
check