Respuesta :
Answer:
The required equation is [tex]g=13.8182t[/tex].
Step-by-step explanation:
Consider the provided information.
It is given that The grade a student earns on a test varies directly with the amount of time the student spends studying.
First find the slope of the line using the formula: [tex]m=\frac{Rise}{Run}[/tex]
Since the grade rise to 76 after spending 5.5 hours studying.
Thus, the slope of the line is: [tex]m=\frac{76}{5.5}=13.8182[/tex]
It is given that equation varies directly with the amount of time the student spends studying.
Thus the equation should be in form of [tex]b=ka[/tex]
where k is a constant.
Substitute b=g, a=t and k=13.8182 in [tex]b=ka[/tex].
[tex]g=13.8182t[/tex]
Hence, the required equation is [tex]g=13.8182t[/tex].
Check: Substitute t=5.5 in [tex]g=13.8182t[/tex]
[tex]g=13.8182(5.5)[/tex]
[tex]g\approx76.00[/tex]
