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Assuming the trend that exists in the data set below applies to all students, how long should Trevor study if
he want to get at least a 75% on the test?


Sagot :

Answer:

He should study for at least 88 minutes

Step-by-step explanation:

The missing parameters are:

[tex]y = 0.36805x + 42.6864[/tex] --- equation of trend

[tex]y \to grade[/tex]

[tex]x \to time[/tex]

Required

x when [tex]y = 75[/tex]

[tex]y = 0.36805x + 42.6864[/tex] becomes

[tex]75 = 0.36805x + 42.6864[/tex]

Collect like terms

[tex]0.36805x = 75 - 42.6864[/tex]

[tex]0.36805x = 32.3136[/tex]

Solve for x

[tex]x = \frac{32.3136}{0.36805}[/tex]

[tex]x = 87.80[/tex]

[tex]x \approx 88[/tex]