This graph shows the relationship between x, the number of hours Mr. David
works, and y, the number of dollars he ears.
Mr. David's Earnings

A. Based on the graph, is the relationship between x and y proportional?
Explain your reasoning
B. What does the point (3,90) represent in the context of this situation?
C. Based on the graph, how many dollars will Mr. David earn if he works
10 hours? Show or explain how you got your answer.
D. Write an equation that could be used to find y, the number of dollars
Mr. David earns for working x hours.

The relationship is linear, the point (3, 90) represents in 3 hours he earns 90 dollars, in 10 hours, he earns 300 dollars, and the linear equation is y = 30x.

What is the linear system?

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

This graph shows the relationship between x, the number of hours Mr. David works, and y, the number of dollars he earns.

A. Based on the graph, the relationship between x and y proportional is a linear relationship.

B. The point (3,90) represents in 3 hours he earns 90 dollars.

D. The linear equation will be

[tex]\begin{aligned} \rm y - 30 &= \rm \dfrac{90-30}{3-1} (x - 1)\\\\\rm y - 30 &= \rm 30x - 30\\\\\rm y &= \rm 30x \end{aligned}[/tex]

C. Based on the graph, the amount of money in dollars will Mr. David earn if he works 10 hours will be

y = 30x

y = 30 × 10

y = $300

More about the linear system link is given below.

https://brainly.com/question/20379472

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