Question

I Looking back on Your History class You disccuered Something interesting. on Yoor first test voe recieved a score of 65 points with no additichal studr timl other than doinj rour honmework and attend lectures, oh the second test rou decided to putin two additichal hoors of Study time and recieve a score of 85 . After vou have ferkighed stodied some mathematizal modeling in math 10 rou suspect that there is a relutionship between roor test scores and the humber ofadditicnal Stcdy fime let $=f(T)

B If rou want a sare of 98 . How manr hoers of stcdy time voeld rou have to Putih? C what is the chit of Slope? What does this mean in the Prublem?

Answer 1

To achieve a test score of 98, you would need to put in approximately 4 hours of additional study time. The slope of the line representing the relationship between test scores and study time is 20, meaning that each additional hour of study increases the test score by 20 points.

Step-by-step explanation:

The question is asking about the relationship between test scores and the number of additional study hours. To find the number of hours of study time needed to achieve a score of 98, we can use the given information and create an equation to model the relationship.

Let's define the variables:

S = test score

T = additional study time

F(T) = score as a function of study time

To find the number of study hours needed to achieve a score of 98, we can set up an equation:

98 = F(T)

We also need to find the slope of the line to understand the relationship between test scores and study time. The slope represents how much the test score changes for each additional hour of study. In the equation, the slope is the coefficient of T (the additional study time).

The slope in this case is 20, which means that for every additional hour of study, the test score increases by 20 points.

Therefore, to achieve a score of 98, you would need to put in approximately 4 hours of additional study time.