PLEASE HELP LAST QUESTION . Carmen is saving for a new TV. After 2 weeks he has $105. After 5 weeks he has $150.
a. Use what you know about finding an equation from two points to write an equation that represents Carmen’s
savings account.
(HINT: X-weeks, Y- Amount Saved)
b. How many weeks will Carmen have to save if the TV costs $825?

a) y = 15x + 75

b) 50 weeks

EXPLANATION:

P A R T   A

2 weeks, 105 dollars --> (2, 105)

5 weeks, 150 dollars --> (5, 150)

if we use slope intercept form (y=mx+b), we must:

1) find the slope

y2 - y1 -->> 150 - 105 = 45

x2 - x1 -->> 5 - 2 = 3

45/3 = 15

2) find the y intercept

y = 15x + b -->> 150 = 15 (5) + b -->> 150 = 75 + b -->> 75 = b

P A R T   B

y = 15x + 75 (substitute the y with 825 because that is the goal)

825 = 15x + 75 (solve normally)

750 = 15x

50 = x

table 3 represents a direct variation function. : )