Answer:
Equation: [tex] y = 14x [/tex].
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 [tex] y = kx [/tex], 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 [tex] y = kx [/tex], and find k.
[tex] 14 = k(1) [/tex]
[tex] 14 = k [/tex]
Substitute k = 14 into [tex] y = kx [/tex].
✅The equation would be:
[tex] y = 14x [/tex].
✍️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 [tex] y = 14x [/tex].
[tex] 518 = 14x [/tex]
Divide both sides by 14
[tex] \frac{518}{14} = x [/tex]
[tex] 37 = x [/tex]
✅Thus, it will take Martina 37 hours to earn $518
