Help 30 points and i will mark brainliest for the best answer which will be more points A teacher is assessing the correlation between the number of hours spent studying and the average score on a music test. The table shows the data:

Number of hours spent studying
(x) 0 0.5 1 1.5 2 2.5 3 3.5 4
Score on music test
(y) 60 62 64 66 68 70 72 74 76

Part A: Is there any correlation between the number of hours students spent studying and the score on the music test? Justify your answer. (4 points)

Part B: Write a function that best fits the data. (3 points)

Part C: What does the slope and y-intercept of the plot indicate? (3 points)

See below

Step-by-step explanation:

From the table we see there is a relation between x and y values

Every step change of x = 0.5, every step change of y = 2

This relation is linear. The formula for linear function is:

Using to pairs of points to get the slope and y-intercept

Calculating the slope:

So the function is

the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

the root or roots of a polynomial are the values of the variable that makes the polynomial equal to 0. we can find the roots of a polynomial making the expression equal to 0 and then, isolating the variable (it it has just one variable).

for example, given the following polynomial:

the root or zero of the polynomial, can be found by making the expression equal to 0, and then, isolating the variable, so, finding the root we have:

therefore, we have that the root of the polynomial is equal to 2.

we must remember that the number of roots that a polynomial can have, will depend on the degree of the polynomial, a first degree polynomial have will have one single root, a second degree polynomial (quadratic expression) may have two roots and so.

hence the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

have a nice day!