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The weight W (in pounds) of a backpack a hiker carries on a multi-day hike can be modeled by W = 2. 5d + 35 were d represents the length of the trip (in days). Identify the slope and the y-intercept. Describe what the slope and the y-intercept represent in this situation



Answer :

The slope is 2.5 and y-intercept is 35.

As per the general equation of straight line, which is y = mx + c. Here y is y-axis, x is x-axis, m is slope and c is y-intercept.

Now, the slope is 2.5 and indicates that the weight increased by 2.5 pounds each day. y-intercept indicates there are atleast 35 total days of th trip. The slop represents subsequent increase in weight per day.

Further, y axis value will the total based on the number of days and increase in weight. x axis will be labelled distance and will represent the same.

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