Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

5. leveled practice the scatter plot shows the number of people at a fa…

Question

  1. leveled practice 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
for each degree that the outside temperature increases, the fair attendance decreases by
thousand people.
the difference between 75°f and 100°f is
°f.
-0.16
=
about
thousand fewer people are predicted to be at the fair on a 100°f day than on a 75°f day.
(chart: number of people (in thousands) on y - axis, temperature (°f) on x - axis, with data points and a line of best fit)

Explanation:

Step1: Identify the slope

The slope is given as -0.16 (from the problem text: "The slope is -0.16"). This means for each degree increase in temperature, the number of people (in thousands) decreases by 0.16.

Step2: Calculate the temperature difference

The temperature difference between 100°F and 75°F is \( 100 - 75 = 25 \) degrees.

Step3: Find the change in attendance

To find how many fewer people (in thousands) are predicted at 100°F compared to 75°F, we multiply the slope by the temperature difference. So, \( -0.16\times25=-4 \). The negative sign indicates a decrease, so the number of people is 4 thousand fewer.

Answer:

4