John and Sarah are each saving money for a car. The total amount of money John will save is given by the function f (x) = 60 + 5x. The total amount of money Sarah will save is given by the function g (x) = x^2+46. After how many weeks, x, will they have the same amount of money saved? explain how you arrived at your answer.

Question

Mathematics

Alyvia

24 August, 14:01

John and Sarah are each saving money for a car. The total amount of money John will save is given by the function f (x) = 60 + 5x. The total amount of money Sarah will save is given by the function g (x) = x^2+46. After how many weeks, x, will they have the same amount of money saved? explain how you arrived at your answer.

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Answers (1)

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Jakayla Huerta · Answer 1

Hi,

they both amount would be same when

f (x) = g (x)

60+5x=x^2+46

x^2+46-5x=60

x^2-5x-14=0

x^2-7x+2x-14=0

(x+2) (x-7) = 0

if x = weeks than x should be positive so x=7

In 7 weeks both will save same amount.