Question

Which choice is a good estimate for the equation of the line below?
A. y=5x+2
B. y=15x+2
C. y=15x−14
D. y=5x−14

Answer 1

The Answer is C since Y is for the miles and X for hours, we need to substitute the miles in the y variable and solve for X !!

Answer 2

Given is a table of Time(hours)-Distance(miles).

We have points (4, 208), (6, 312), (8, 416), (10, 520).

Finding slope of given points:-

$m_1=\frac{312-208}{6-4}= \frac{104}{2}=52 \\m_2=\frac{416-312}{8-6}= \frac{104}{2}=52 \\m_3=\frac{520-416}{10-8}= \frac{104}{2}=52$

We know general equation of the line is given by y = mx+b.

Using point (4, 208) and slope m = 52 in the equation y = mx+b.

208 = (52)(4) + b

208 = 208 + b

b = 0.

So, the equation is y = 52x.