jeremy has a weekend job as a soccer referee. one weekend, he earns $140 by working 4 games. another…

jeremy has a weekend job as a soccer referee. one weekend, he earns $140 by working 4 games. another weekend, he earns $210 by working 6 games. if jeremy graphed an equation that would represent his total earnings based on the number of games worked, what would be the slope of the graph?\na. 7\nb. 10\nc. 35\nd. 70

jeremy has a weekend job as a soccer referee. one weekend, he earns $140 by working 4 games. another weekend, he earns $210 by working 6 games. if jeremy graphed an equation that would represent his total earnings based on the number of games worked, what would be the slope of the graph?\na. 7\nb. 10\nc. 35\nd. 70

Answer

Explanation:

Step1: Identify two - point form data

Let the number of games be $x$ and the earnings be $y$. We have two points $(x_1,y_1)=(4,140)$ and $(x_2,y_2)=(6,210)$.

Step2: Use the slope formula

The slope formula is $m = \frac{y_2 - y_1}{x_2 - x_1}$. Substitute the values: $m=\frac{210 - 140}{6 - 4}$.

Step3: Calculate the numerator and denominator

$210-140 = 70$ and $6 - 4=2$. So $m=\frac{70}{2}=35$.

Answer:

C. 35