Question

Mr. Thomas convinces his friend to lend him $800 to go on a video game shopping spree. The expectation is that Mr. Thomas pays back $50 per week to his friend. Create a function f(x) that represents the current amount of money left that Mr. Thomas owes after X weeks have passed.

What is the slope of the function?

Answer 1

The function that represents the current amount of money left that Mr. Thomas owes after X weeks have passed is f(x) = 800 - 50x.

Step-by-step explanation:

The function that represents the current amount of money left that Mr. Thomas owes after X weeks have passed can be represented as f(x) = 800 - 50x. In this equation, x represents the number of weeks that have passed. So, if we substitute x with the number of weeks Mr. Thomas has been paying, we can calculate the current amount of money he owes. For example, if 4 weeks have passed, we can substitute x with 4 and calculate f(4) = 800 - 50(4) = 800 - 200 = 600. Therefore, after 4 weeks, Mr. Thomas would owe $600. The slope of the function is -50, which means that for every week that passes, Mr. Thomas' debt decreases by $50.

The slope of the function can be calculated by looking at the coefficient of x in the equation. In this case, the coefficient of x is -50. The slope represents the rate of change of the function. So, in this case, the slope of the function f(x) = 800 - 50x is -50. This means that for every week that passes, Mr. Thomas' debt decreases by $50.