Question

The equation yˆ=24.387x + 328.182 models Math SAT scores, y, where x is the number of hours spent studying.

What does the y-intercept of the equation represent in the context of the situation?

The average number of hours studied is about 328.
Without any studying, the score would be about 328.
Without any studying, the score would be about 24.
The average number of hours studied is about 24.

Answer 1

Without any studying, the score would be about 328

Explanation:

The y-intercept of an equation represents the point where its graph crosses the y-axis. At this point the value of x is always equal to 0.

The y-intercept of the equation in this context would represent the Math SAT score of a student who did not do any studying, that is the number of hours spent studying, x = 0.

Substitute x = 0 in the given equation and solve for y;

y = 24.387(0) + 328.182

y = 328.182

Therefore, Without any studying, the score would be about 328