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1. josh is on the road trip returning home from vacation. the graph below shows distance remaining at various times on the trip

answer:

Step-by-step explanation:

a)The equation of a straight line can be represented in the slope-intercept form, y = mx + c

Where c = intercept

Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis

change in the value of y = y2 - y1

Change in value of x = x2 -x1

y2 = final value of y

y 1 = initial value of y

x2 = final value of x

x1 = initial value of x

Looking at the graph,

y2 = 80

y1 = 120

x2 = 2

x1 = 1

Slope,m = (80 - 120)/(2 - 1) = - 40

To determine the intercept, we would substitute x = 2, y = 80 and

m = - 40 into y = mx + c. It becomes

80 = - 40 × 2 + c

80 = - 80 + c

c = 80 + 80 = 160

The equation becomes

y = - 40x + 160

b) when he starts, x = 0. Therefore,

y = - 40 × 0+ 160

y = 160 miles

He is travelling at - 40 miles per hour

dnji

step-by-step explanation:

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