Question

the equation for the line of best fit is y = 0.8x + 30. according to the equation, which of these statements is true?
on a day when the theater sells 550 tickets, the snack stand would likely use about 470 ounces of butter.
on a day when the theater sells 600 tickets, the snack stand would likely use about 480 ounces of butter.

Explanation:

Step1: Substitute x value

Given the equation $y = 0.8x+30$, substitute $x = 550$.
$y=0.8\times550 + 30$

Step2: Calculate the product

$0.8\times550=440$.
So, $y = 440+30$

Step3: Calculate the sum

$y=470$

Step4: Substitute x = 600

Substitute $x = 600$ into $y = 0.8x+30$.
$y=0.8\times600+30$

Step5: Calculate the product

$0.8\times600 = 480$.
So, $y=480 + 30=510$

Since for $x = 550$, $y = 470$ and for $x = 600$, $y = 510$, the first statement is true.

Answer:

On a day when the theater sells 550 tickets, the snack - stand would likely use about 470 ounces of butter.