Question

Jimmy is a tutor in the science club. He charges $40 per semester to privately tutor other students and an additional $10 for home visits to help him pay for gas. If Jimmy made less than $80 this semester for tutoring 1 student, which inequality can be used to determine how many times he visited the student's home?

Answer 1

`10x+40<80`

Explanation:

Let

x ----> the number of home visits in a semester

we know that

The linear equation in slope intercept form is equal to

`y=mx+b`

we have

`m=\$10\ per\ home\ visits`

`b=\$40`

substitute

`y=10x+40`

Remember that

Jimmy made less than $80 this semester for tutoring 1 student

so

the inequality that represent this problem is equal to

`10x+40<80`

solve for x

subtract 40 both sides

`10x<40`

divide by 10 both sides

`x<4`

therefore

The number of visits is less than 4