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?

Tom has 25 toys. Each hour he has to wrap 5 toys with paper and put them in Santa’s sled.
a. Write an equation that represents the number of toys Tom has to wrap.
b. If Tom works 50 hours in one week, how many toys would be in santas sleigh?

Answer 1

I SOLVED THE CARMEN PROBLEM

ANSWER:

a) y = 15x + 75

b) 50 weeks

Step-by-step 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

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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