Please answer this and look at the photo for info, and read below for to understand the math problem! Write an equation that shows the pattern in the table/photo. Use the equation to find how many hours will it take Martina to earn $518 to buy a new phone. Please show your steps and write long.

Equation: .

It would take Martina 37 hours to earn $518

Step-by-step explanation:

✍️An equation that shows a proportional relationship between the time she spends babysitting (x) and amount of money she earns for babysitting (y) can be represented as , where k = constant of proportionality.

Let's find k using any of the pairs given in the table of values. Let's use (1, 14).

Substitute x = 1, and y = 14 into , and find k.

Substitute k = 14 into .

✅The equation would be:

.

✍️Using the equation, we can find how many hours Martina needs to work in order to earn $518 she wants to use to buy a new phone.

Simply, substitute y = 518 in .

Divide both sides by 14

✅Thus, it will take Martina 37 hours to earn $518

to plot points   for x just start at the origin (middle) and go to the left however many times it say(if the number is a positive) if the number is a negative then go right however many times it says if it is 0 go nowhere

now keep you pencil there and go up however many times it says on y(if it is positive) if it is negative then go down however many times it says. if it says 0 go nowhere.

you have just plotted a point! now when you finish plotting all of them connect them with a ruler

plot each point as (-3, 7), (0,4), (3,1), (8,-4)   in the parenthesis on the left of the comma is x and the right is y.

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x