Mrs. Kreger created the expression

4(h+ 11) - 15 to estimate the number of hours, h, her students need to study each week to earn a certain grade average. According to the expression, how many hours per week does Lindsey need to study if she wants to have an average of at least 90

Respuesta :

Functions are used to show relationship between variables using equations. The number of hours the students need to study to score at least 90 is 15.25 hours

Given

[tex]f(h) = 4(h + 11) -15[/tex]

To calculate h, when the expression is 90.

We have:

[tex]4(h + 11) -15 = 90[/tex]

Add 15 to both sides

[tex]4(h + 11) = 90 + 15[/tex]

[tex]4(h + 11) = 105[/tex]

Divide both sides by 4

[tex]h + 11 = 26.25[/tex]

Subtract 11 from both sides

[tex]h = 26.25-11[/tex]

[tex]h = 15.25[/tex]

Hence, the students need to study for at least 15.25 hours to have at least 90 marks.

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