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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?

Respuesta :

calculista

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

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