Question

A sports announcer states that there are 65,000 fans in the stadium. Estimate the maximum noise level. Is this estimate reasonable? Explain your reasoning.

Answer 1

Question:

The scatter plot shows the maximum noise level when different numbers of people are in a stadium. The linear model is given by the equation y=1.5x + 22.7 where y represents maximum noise level and x represents the number of people, in thousands, in the stadium.​​​​​​

A sports announcer states that there are 65,000 fans in the stadium. Estimate the maximum noise level. Is this estimate reasonable? Explain your reasoning.

Answer:

`y = 97522.7`

Explanation:

Given

`y = 1.5x + 22.7`

`x = 65000`

Required

Find y

Substitute 65000 for x in the given equation

`y = 1.5 * 65000 + 22.7`

`y = 97500 + 22.7`

`y = 97522.7`

It is reasonable because as the population increases, the noise level also increases