Question

HELP PLEASE

Gina has saved $385 for music lessons. She plans to spend $35 per month 5 points
on lessons. This can be represented by the equation y = 385-35x where y
is the amount of money she has left and x is the number of months she
has been taking music lessons. What is the x-intercept? What does the x-
intercept of this function mean in the context of this situation?

Answer 1

11, the amount of time it'll take for her to run out of money for music lessons

Explanation:

THe x intercept is where y=0

to solve this we can just plug in 0 for y and solve for x

we have

0= 385-35x

35x=385

x=11

Answer 2

x- intercept is when y = 0

• y = 385 - 35x
• 0 = 385 - 35x
• 35x = 385
• x = 385/35
• x = 11

This is the point (11, 0), this is the indication that after 11 months Gina will have spent all money saved.