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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