Question

Sarah walked 1 mile yesterday. Today she will walk at a rate of 3 miles per hour. Which graph shows her two-day total walking distance, d, based on the number of hours, h, that she spends walking today?

Answer 1

Graph C

Explanation:

If a graph represents the linear equation,

d = mh + b

Here 'm' = slope of the line

b = y-intercept

d = Distance traveled

h = duration or time

For the given question,

Slope of a line represents the rate of change in distance or speed and y-intercept represents the initial distance traveled or the distance traveled on 1st day.

So the equation will be,

d = 3h + 1

Input-output values for the graph,

h 0 1 2 3 4

d 1 4 7 10 13

We find all these points lying on a straight line give in Graph C.