Question

Write an equation and interpret the y-intercept.

You need $125 to buy an MP3 player. Your allowance is $5 per week and you earn $20 per lawn mowed
Write an equation that represents your weekly income in dollars for x lawns mowed. Interpret the y intercept . How many lawns do you need to mow to earn enough money in one week to buy the MP3 player?

Answer 1

Answer in explanation

Explanation:

The equation of a straight line can be represented in the form;

y = mx + c

where m is slope and c is y-intercept

In this particular case

y = 20x + 5

y is the weekly income, x is the number of lawns mowed

The y-intercept 5 is the amount earned in a week given they no lawn was mowed

In a case where y = 125

125 = 20x + 5

20x = 125-5

20x = 120

x = 120/20

x = 6

You need to mow 6 lawns to earn enough money in one week to buy the MP3 player