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?

Step-by-step explanation:

Let

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

we know that

The linear equation in slope intercept form is equal to

we have

substitute

Remember that

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

so

the inequality that represent this problem is equal to

solve for x

subtract 40 both sides

divide by 10 both sides

therefore

The number of visits is less than 4

< 4, -5>

step-by-step explanation:

starting from g. we move 4 right and then 5 down to get to h. that means the vector is < 4, -5>