Question

Jen’s parents pay her $10 per week as allowance. Jen can also earn $2 for

each chore she performs during the week.

a. Write an expression for the amount Jen will receive in one week if

her parents pay her allowance and also pay her for doing x chores.

Explain your reasoning.

b. Suppose Jen performs 5 chores. Use your expression to find how

much money she will receive that week from her parents.

c. Jen has 4 weeks to save $144 to go to a concert. How many chores

must she work each week to reach her goal? Write and solve an equation

Answer 1

a. she will receive $12 .... 10+2 = 12

b. 2 x 5 = 10 and 10 for allowance = 20

c. she would have to do 13 chores per week = 26 + 10 allowance = 36
so for 4 weeks it will be 36 x 4 = 144

Answer 2

a. y = 2x + 10 b. $20 c. 13 chores.

Explanation:

a. Jen's parents pay her $10 per week plus $2 for each chore that she does.

We can express that as:

y = 2x + 10 where x= the amount of chores that she performs and y= Money received

For example, if she does 2 chores, she will get:

y = 2(2) + 10

y = $14

or if she does 3 chores, she will get

y = 2(3) + 10

y = $16

b. Therefore, if we used our equation from above she will get:

y = 2(5) + 10

y = $20

She will get $20

c. To know how many chores she need to do to reach her goal of saving $144 in 4 weeks, we can divide the total money she needs over the 4 weeks:

144/4 = $36

She needs to save 36 dollars per week. Therefore using our equation, knowing that y = 36, we get:

36 = 2x + 10

36-10 = 2x

26 = 2x

x =
`(26)/(2)`

x =13 chores

She needs to do 13 chores per week.