Question

The scatter plot shows the number of people at a fair based on the outside temperature. How many fewer people would be predicted to be at the fair on a 100°F day than on a 75°F day? The slope is ___? I got -0.16 for the slope. For each degree that the outside temperature increases, the fair attendance decreases by ___ thousand people.

Answer 1

we are asked to determine the difference in people between 100 degrees and 75 degrees. To do that we need to determine the number of people for each temperature. We do this using the graph.

For 100 degrees we see that the number of people is 6000 and for 75 degrees we see that the number of people 10000, the difference is:

`10000-6000=4000`

The difference is 4000 people.

The slope of the line is the quotient between the difference in people over the corresponding difference in temperature, therefore, the slope is:

`m=(10000-6000)/(75-100)`

Solving the operation:

`m=(4000)/(-25)=-160`

this means that the slope is -160 people/temperature.

This means that for each degree that the temperature decreases the attendance decreases by 160 people