Question

the equation for the line of best fit is y = 1.25x - 50. based on the equation, which of these statements is true? the store could expect to sell about 81 beach chairs in a week with a high temperature of 105°f. the store could expect to sell about 176 beach chairs in a week with a high temperature of 101°f.

Explanation:

Step1: Substitute temperature value.

Let $x = 105$ in $y=1.25x - 50$.

Step2: Calculate $y$.

$y=1.25\times105 - 50=1.25\times(100 + 5)-50=(1.25\times100+1.25\times5)-50=(125 + 6.25)-50=131.25-50 = 81.25\approx81$.

Step3: Check other statement.

Let $x = 101$ in $y = 1.25x-50$, $y=1.25\times101-50=1.25\times(100 + 1)-50=(125+1.25)-50=126.25 - 50=76.25
eq176$.

Answer:

The store could expect to sell about 81 beach chairs in a week with a high temperature of 105°F.