Question

John keeps track of his father's driving to pass the time on a trip to Grandma's. He records the distance each hour, and he will graph the results. If the pattern of mileage change continues, how far will they have driven in 11 hours?


Hours Miles (x, y)

1 70 (1, 70)

2 140 (2, 140)

3 210 (3, 210)

4 280 (4, 280)



560 miles

700 miles

350 miles

770 miles

Answer 1

Answer:

770 miles

Step-by-step explanation:

First, find the slope (m) of the pattern, using any two points from your data set.

Slope (m) = $m=\frac{y_2-y_1}{x_2-x_1}$

(1, 70) and (3,210)

$m=\frac{y_2-y_1}{x_2-x_1}\\m=\frac{210-70}{3-1}\\m=\frac{140}{2}\\m=70$

y = mx + b

y = 70x + b

(1, 70)

y = 70x + b

70 = 70(1) + b

70 = 70 + b

-70  -70

0 = b

y = 70x + b  OR  y = 70x

Now we find how he has driven in 11 hours

y = 70x

y = 70(11)

y = 770

Therefore, he will have driven 770 miles in 11 hours.

Hope this helps!

Answer 2

770 miles because I got this right on my test a few weeks ago trust me it’s right