Question

Write a real life example of a linear function. Write it out as a word problem and create the rule (equation) for the function. (Example: Jane sells lemonade for $2 a cup. Her supplies cost her $15. What is the profit after selling x cups of lemonade? Y= 2x-15)

Answer 1

Bob wants to buy some mechanical pencils. One pencil costs 2 dollars. How much money does he have to pay if he buys x pencils?

Explanation:

You can plug in any numbers to the equation y=mx+b. m would be the slope, and b would be the y-intercept. For example, you could do something like this:

Bob wants to buy some mechanical pencils. One pencil costs 2 dollars. How much money does he have to pay if he buys x pencils?

Then the equation would be y=2x. Since the amount of pencils he buys could be 0, we don't have to add the b or y-intercept.

Answer 2

Jane is a freelance graphic designer who charges a fixed rate for her services. She charges $65 per hour, and she also incurs a monthly fee of $112 for maintaining her design software. Jane was hired by a client to design a logo for their company. She spent x hours working on the project. What is her total earnings after completing the logo design?

Y = 65x - 112

Y = total earnings

x = hours working