Question

essay 2 points
the equation for the pay is: $p = 15h$
a. what does it mean to say that (2, 30) is a solution to this equation?
b. is (4, 70) a solution? explain why or why not.

Explanation:

Step1: Understand the meaning of a solution

In the equation $P = 15h$, $P$ represents pay and $h$ represents hours. A solution $(x,y)$ means when $h=x$, $P = y$.

Step2: Check if (2,30) is a solution

Substitute $h = 2$ into the equation $P=15h$. We get $P=15\times2=30$. So when the number of hours $h = 2$, the pay $P = 30$. That's what it means for $(2,30)$ to be a solution.

Step3: Check if (4,70) is a solution

Substitute $h = 4$ into the equation $P = 15h$. We have $P=15\times4=60$. Since $60
eq70$, $(4,70)$ is not a solution.

Answer:

a. It means when the number of hours $h = 2$, the pay $P = 30$.
b. No, because when $h = 4$, $P=15\times4 = 60
eq70$.