Question

M6L1Relationships between QuantitiesSignGabrielle likes to go to her local car wash because she is a premier member there. Her membershipfee costs $60.00 and that membership allows her to get her car washed for $20.00 every visit. )Fill in the table to find how much it costs for 2,4,5, and 8 visits. Use the calculator to help yousolve.

Answer 1

Step-by-step explanation

Gabrielle's membership to the local car wash costs $60.00 - let's assume this fee is paid monthly. With this membership, each visit costs $20.00, so for v visits, she will pay $20.00v - plus the membership.

The total cost for v visits is,

`c=60+20v`

To fill in the first column of the table, we have to plug the values of v in the equation above and solve,

`\begin{cases}c=60+20\cdot2=60+40=100 \\ \\ c=60+20\cdot4=60+80=140 \\ \\ c=60+20\cdot5=60+100=160 \\ \\ c=60+20\cdot8=60+160=220\end{cases}`

Then, to find the cost per visit we have to divide each of these costs by the number of visits,

`\begin{cases}(c)/(v)=(60+20\cdot2)/(2)=(60+40)/(2)=(100)/(2)=50 \\ \\ (c)/(v)=(60+20\cdot4)/(4)=(60+80)/(4)=(140)/(4)=35 \\ \\ (c)/(v)=(60+20\cdot5)/(5)=(60+100)/(5)=(160)/(5)=32 \\ \\ (c)/(v)=(60+20\cdot8)/(8)=(60+160)/(8)=(220)/(8)=27.50\end{cases}`