Answer:
[tex]10x+40<80[/tex]
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
[tex]y=mx+b[/tex]
we have
[tex]m=\$10\ per\ home\ visits[/tex]
[tex]b=\$40[/tex]
substitute
[tex]y=10x+40[/tex]
Remember that
Jimmy made less than $80 this semester for tutoring 1 student
so
the inequality that represent this problem is equal to
[tex]10x+40<80[/tex]
solve for x
subtract 40 both sides
[tex]10x<40[/tex]
divide by 10 both sides
[tex]x<4[/tex]
therefore
The number of visits is less than 4
