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:
Step-by-step explanation:
Given
Required
Find y
Substitute 65000 for x in the given equation
<em>It is reasonable because as the population increases, the noise level also increases</em>
Answer:
Step-by-step explanation:
We can see the lines are parallel
The function f(x) has y-intercept of 2 at point (2, 0) and the function g(x) has y-intercept of -3 at point of (-3, 0)
If f(x) = mx + 2, then g(x) = mx - 3
<u>The value of k is the difference of y-intercepts as slopes are same due to lines being parallel:</u>
So the answer is k = -5
Answer:
We have the sentence:
"X by the power of 5 times y to the power of 6 over 2 by the power of -2 times x by the power of 0times x by the power of 9"
Let's break it into parts.
"X by the power of 5 times y to the power of 6..."
This can be written as:
x^5*y^6
"... 2 by the power of -2 times x by the power of 0times x by the power of 9"
This can be written as:
2^(-2)*x^(0)*x^(9)
And we have the quotient between the first thing and the second thing, then the equation is:
And any number by the power of 0 is equal to 1, then:
x^0 = 1, then we can rewrite the equation as:
We can keep simplifying this.
We know that:
a^(-n) = (1/a)^(n)
Then:
2^(-2) = (1/2)^2 = 1/4
Then we get:
And we also know that:
a^n/a^m = a^(n - m)
Then:
And we can't simplify this anymore.