Question

During the summer Abrielle is a cashier at a grocery store and Zane serves ice cream to show their earnings Abrielle makes a graph and Zane makes a table.

Which statement is true.

Abrielle's slope is $10.5$

Zane

$2\mathrm{hr}$	$\$18.50$
$5\mathrm{hr}$	$\$46.25$
$7\mathrm{hr}$	$\$64.75$

• A. Zane earns $\$8$ more than Abrielle
• B. Zane earns $\$4.75$ more than Abrielle
• C. Abrielle earns $\$1.25$ more than Zane
• D. Abrielle earns$\$2.50$ more Zane

Answer 1

The correct option is C

Abrielle earns $\$1.25$ more than Zane

Step-1: Explanation for the correct option:

From Zane's table the coordinates can be given as $(2,18.5)\mathrm{and}(5,46.25)$.

Therefore the slope can be given as,

$$\begin{gathered} \mathrm{m}=\frac{46.25-18.5}{5-2} \\ \mathrm{m}=\frac{27.75}{3} \\ \mathrm{m}=9.25 \end{gathered}$$

Difference in slope of Abreille and Zane is,

$$\begin{gathered} =10.5-9.25 \\ =\$1.25 \end{gathered}$$

The value of the slope of Zane is $\$1.25$ less than that of Abrielle.

Step-2: Explanation for the incorrect option:

As, the value of the slope of Zane is $\$1.25$ less than that of Abrielle.

So the other options are incorrect.

Hence, the correct option is $\left(C\right)$.