Question

problem 7b
pilar opened a hot chocolate store in the fall. she noticed that she sold more hot chocolate on colder days.
pilar made a linear model with the equation ( y = -2x + 240 ).
use her equation to predict how many cups of hot chocolate pilar might sell on a day when the highest temperature is ( 40^circ \text{f} ).
cups

Explanation:

Step1: Identify the value of x

The highest temperature \( x \) is \( 40^\circ \text{F} \), so we substitute \( x = 40 \) into the linear equation \( y=-2x + 240 \).

Step2: Substitute x into the equation

Substitute \( x = 40 \) into \( y=-2x + 240 \):
\[

$$\begin{align*} y&=-2(40)+240\\ &=-80 + 240\\ &= 160 \end{align*}$$

\]

Answer:

160