Lisa and joey are each saving money for their prom. lisa’s total amount of money is represented by the function f(x)=20-13x. the total amount of money joey has is given by the function g(x)=x^2-10. after how many weeks, x, will they have the same amount of money saved? show your work.

2 weeks

Step-by-step explanation:

Given in the question that,

Equation that represent Lisa's total amount of money

f(x) = 20 - 13x

Equation that represent Joey's total amount of money

g(x) = x² - 10

To find weeks, x, after which they will have same amount of money, we will equate both equation

x² - 10 - 20 + 13x = 0

x² - 30 + 13x = 0

x² + 13x - 30 = 0

(x - 2)(x + 15) = 0

x = 2 or x = -15

Weeks, x, can not be negative so we will reject x = -15

Hence, after 2nd week Lisa and Joey will have the same amount of money save.

answer

see attachment

explanation

the given function is

this function has y-intercept at

-4 and a slope of 2.

note that, the graph has a positive slope.

the graph that represents this function is the straight line that moves upward from left to right.

the graph touches the y-axis at -4.

the correct choice is the graph shown in the attachment.