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:
[tex]y = 97522.7[/tex]
Step-by-step explanation:
Given
[tex]y = 1.5x + 22.7[/tex]
[tex]x = 65000[/tex]
Required
Find y
Substitute 65000 for x in the given equation
[tex]y = 1.5 * 65000 + 22.7[/tex]
[tex]y = 97500 + 22.7[/tex]
[tex]y = 97522.7[/tex]
It is reasonable because as the population increases, the noise level also increases
