Question

The table shows the data of the amount of money Angelica earns and number of hours she works.

Time $\left(x\right)$	$2$ hr	$4$ hr	$8$ hr
Money $\left(y\right)$	$\$24$	$\$48$	$\$96$

What is her rate ($/hr) of earning the amount of money?

Answer 1

Detailed step-by-step solution:
Angelica’s rate of earning the amount of money is equal to the constant of proportionality of two variables, Time $\left(x\right)$ and Money $\left(y\right).$
Constant of proportionality is the constant ratio of two variables related proportionally.
Constant of proportionality $=\frac{y}{x}$
$=\frac{24}{2}$ (checking ratio at $x=2$ and $y=24$)
$=12$
Calculating the ratio $\left(\frac{y}{x}\right)$ at all the values of $x$ and $y$?

Time $\left(x\right)$	$2$ hr	$4$ hr	$8$ hr
Money $\left(y\right)$	$\$24$	$\$48$	$\$96$
Rate of earning $\left(\frac{y}{x}\right)$	$\frac{24}{2}=12\$/$hr	$\frac{48}{4}=12\$/$hr	$\frac{96}{8}=12\$/$hr

Her rate ($\$$/hr) of earning the amount of money is $12\$/$hr.
Option B is correct.