Question

Jasmine has $15 dollars and saves $2.50 every month. Radha has $0 and saves $3.50 every month. Jasmine’s savings after x months can be represented by the function f(x) = 2.5x + 15. Radha’s savings after x months can be represented by the function g(x) = 3.5x. a. After how many months will they both have the same amount in savings? Find the values of x for which f(x) = g(x). b. Explain how to check your work. c. Explain what the graph of the two functions would look like.

Answer 1

2.5x+15 = 3.5x

 subtract 2.5x from both sides

15 =x

 15 months