Question

The data about the number of hours that Eva babysits each week (h) and the amount of money she earns per week ($) (a) is given in the following table.

$\begin{array}{ccccc}\text{Number of hours}& 3& 4& 5& 6\\ \text{(h)}& & & & \\ \text{Amount of money}& 36& 48& 60& 72\\ \text{earned per week (a, in}\$\text{)}& & & & \end{array}$

Which of the following equations represents the amount of money that Eva earns each week?

• A. $a=12h$
• B. $a=\frac{12}{h}$
• C. $a=12+h$
• D. $a=\frac{h}{12}$

Answer 1

The correct option is A $a=12h$

a represents the amount of money that Eva earns each week.
h represents the number of hours Eva babysits in the week.
To figure out how much Eva earns in a week, let’s analyze the values given in the table.



So, she is paid $\$12$ per hour.
For 3 hours of babysitting, she makes $12\times 3=\$36$.
For 4 hours of babysitting, she makes $12\times 4=\$48$.
For 5 hours of babysitting, she makes $12\times 5=\$60$.
For 6 hours of babysitting, she makes $12\times 6=\$72$.
For h hours of babysitting, she makes $12\times h=12h$.
Hence, the amount of money that Eva makes each week, a = 12h.