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1 answer:
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Answer:
B. 585
Step-by-step explanation:
A graph of the scatter plot and line of best fit is attached.
The temperature in this problem will be the independent variable, or x. This is because we are assuming that the number of ice cream cones sold depends on the temperature; this means the number of ice cream cones will be the dependent variable, or y.
This means in our graphing calculator, we will enter temperature in the first list and the number of cones in the second.
After drawing the scatter plot, we run the linear regression; we get the values for a and b in our equation, y = ax+b:
a = 5.08
b = 46.59
This gives us the equation y = 5.08x + 46.59.
Entering our temperature, 106, in for x gives us
y = 5.08(106) + 46.59 = 585.07 ≈ 585
The true statement is:
"The range of the function is all real numbers less than or equal to 9."
<h3>Which statements are true?</h3>
Here we have the quadratic function:
And we want to see which of the given statements are true.
The first one is:
"The domain is al real numbers less than or equal to -2"
This is false, for all quadratic functions the domain is the set of all real numbers (unless the domain is defined).
The second statement is:
" The domain of the function is all real numbers less than or equal to 9."
Also false
Third one:
" The range of the function is all real numbers less than or equal to −2"
The range of a quadratic function with a negative leading coefficient will be the set of all the values smaller than the y-value of the vertex.
In this case, the quadratic function is:
So the vertex is at:
Then the y-value of the vertex is:
So the range is the set of all real numbers less than or equal to 9.
So the above statement is false, and the final one:
"The range of the function is all real numbers less than or equal to 9."
Is the true statement.
If you want to learn more about quadratic functions:
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