Question

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.

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Answer 1

Equation:
`y = 14x`.

It would take Martina 37 hours to earn $518

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
`y = kx`, 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
`y = kx`, and find k.

`14 = k(1)`

`14 = k`

Substitute k = 14 into
`y = kx`.

✅The equation would be:

`y = 14x`.

✍️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
`y = 14x`.

`518 = 14x`

Divide both sides by 14

`(518)/(14) = x`

`37 = x`

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