Need some help with this question multiple choice please give me a decent response not a silly one

Question

asked Feb 1, 2023 127k views

1 Answer

Embik · Answer 1 · 2023-02-06T16:45:49+0000

Answer:

D. C = 480 - 60t

Step-by-step explanation:

Line segment for 4 ≤ t ≤ 8

Take two points: (4, 240), (8, 0)

Find slope:

$\sf slope: (y_2 - y_1)/(x_2 - x_1) \quad where\:(x_1,y_1),\:(x_2,y_2)\:are\:points$

$\sf \rightarrow slope: (0-240)/(8-4) = -60$

Find equation:

$\sf y - y_1 = m(x - x_1)$

$\sf \rightarrow C - 0 = -60(t - 8)$

$\sf \rightarrow C = -60t + 480$

$\sf \rightarrow C = 480-60t$