Question

Tommy has 200 fliers to hand out. He hands out an average of 15 fliers each hour. Let x = the number of hours spent handing out fliers f(x) = the number of fliers Tommy has left

a. Write an equation to model the situation, using function notation.
b. How many hours did he hand out fliers if Tommy has 50 fliers left?

Answer 1

Tommy handed out fliers for 10 hours to have 50 fliers remaining, using the function notation f(x) = 200 - 15x to model the situation.

Step-by-step explanation:

To model the situation using function notation, we start with the total number of fliers and subtract the number handed out per hour times the number of hours (x). The equation in function notation is:

f(x) = 200 - 15x

To find the number of hours Tommy spent handing out fliers if he has 50 fliers left, we need to solve for x when f(x) = 50:

1. 
   
3. Set the function equal to 50: 200 - 15x = 50.
4. 
   
6. Subtract 200 from both sides: -15x = -150.
7. 
   
9. Divide by -15 to solve for x: x = 10 hours.

Tommy spent 10 hours handing out fliers to have 50 left.