Carmen currently has $5; she makes $2 a week in allowance.
a) Write a function C(x) that represents how much money she will have at the end of each week, x.
b) How much money will she have in 10 weeks?
c) How long until she has $35?
d) Carmen's sister Lilly has $10, but only makes $1 a week in allowance. Write a function L(x) to represent how much she will have at the end of each week, x.
e) How long will it take until Carmen and Lilly have the same amount of money?
a) C(x) = 5 + 2x
b) In 10 weeks, Carmen will have $5 + 2(10) = $25.
c) We can set up an equation to solve for how many weeks it will take Carmen to reach $35:
5 + 2x = 35
2x = 30
x = 15
It will take Carmen 15 weeks to have $35.
d) L(x) = 10 + x
e) To find out when Carmen and Lilly will have the same amount of money, we set up the equation:
5 + 2x = 10 + x
x = 5
It will take 5 weeks for Carmen and Lilly to have the same amount of money.