Question

the scatter plot shows the number of people at a fair based on the outside temperature. how many fewer people are at the fair on a 100°f day than on a 75°f day? click the icon to view the scatter plot. the slope is -0.16. for each degree that the outside temperature increases, the fair attendance decreases by number or decimal.

Explanation:

Step1: Understand the slope meaning

The slope is -0.16, which means for each 1 - degree increase in temperature, attendance decreases by 0.16. We need to find the difference in temperature: \(100 - 75=25\) degrees.

Step2: Calculate the change in attendance

Multiply the slope by the temperature difference: \(- 0.16\times25=-4\). The negative sign indicates a decrease, but we want the number of fewer people, so we take the absolute value (or just consider the magnitude of the change). Wait, actually, the question is "how many fewer people be at the fair on a 100°F day than on a 75°F day?". So we calculate the change in attendance: slope is the change in attendance per change in temperature. So \(\text{Change in attendance}=\text{slope}\times\text{Change in temperature}\). Change in temperature is \(100 - 75 = 25\). So \(-0.16\times25=-4\). The negative sign means attendance is 4 less on 100°F day than 75°F day. Also, for the second part, "For each degree that the outside temperature increases, the fair attendance decreases by" the slope's magnitude in terms of people per degree, but the slope is - 0.16, so per degree increase, attendance decreases by 0.16? Wait, maybe the first part:
Wait, the first question: "How many fewer people be at the fair on a 100°F day than on a 75°F day?". The temperature difference is \(100 - 75 = 25\) degrees. The slope is - 0.16, which is \(\frac{\text{Change in attendance}}{\text{Change in temperature}}\). So \(\text{Change in attendance}=\text{slope}\times\text{Change in temperature}=-0.16\times25=-4\). So there are 4 fewer people.
For the second blank: "For each degree that the outside temperature increases, the fair attendance decreases by" the slope's value in terms of people per degree. Since slope is - 0.16, that means per 1 - degree increase, attendance decreases by 0.16? Wait, maybe the second part is just the slope's magnitude for the decrease per degree. But let's focus on the first question first.

Wait, the problem has two parts? Wait, the image text:

"The scatter plot shows the number of people at a fair based on the outside temperature. How many fewer people be at the fair on a 100°F day than on a 75°F day?

The slope is - 0.16.

For each degree that the outside temperature increases, the fair attendance decreases by (an integer or a decimal)."

So first, find how many fewer on 100°F than 75°F:

Change in temperature: \(100 - 75=25\)

Change in attendance: slope * change in temperature = \(-0.16\times25=-4\). So 4 fewer people.

Second, for each degree increase, attendance decreases by 0.16 (since slope is - 0.16, meaning per 1 - degree increase, attendance changes by - 0.16, i.e., decreases by 0.16).

But maybe the first answer is 4, and the second is 0.16? Wait, let's check again.

Wait, the first question: "How many fewer people be at the fair on a 100°F day than on a 75°F day?"

Temperature difference: 25 degrees.

Slope: - 0.16 (people per degree). So total change: - 0.16 * 25 = - 4. So 4 fewer people.

Second part: "For each degree that the outside temperature increases, the fair attendance decreases by" 0.16 (since slope is - 0.16, so per degree increase, attendance decreases by 0.16 people).

But maybe the first blank is 4, the second is 0.16.

Answer:

For "How many fewer people...": 4

For "For each degree...": 0.16