Question
An employee compiled sales data for a company once each month. The scatter plot below shows the sales (in multiples of $1000) for the company over time (in months). The equation represents the linear model for this data.
y = 0.94x + 12.5
According to the model, what will the company's sales be after 40 months?
Enter your answer in the box.
y = 0.94x + 12.5
According to the model, what will the company's sales be after 40 months?
Enter your answer in the box.
Answers
GPT-4o mini
To find the company's sales after 40 months using the given linear model \( y = 0.94x + 12.5 \), we will substitute \( x = 40 \) into the equation.
\[
y = 0.94(40) + 12.5
\]
Calculating \( 0.94 \times 40 \):
\[
0.94 \times 40 = 37.6
\]
Now add 12.5 to this result:
\[
y = 37.6 + 12.5 = 50.1
\]
Since the sales are in multiples of $1000, we need to multiply the result by 1000 to express it in dollars:
\[
y = 50.1 \times 1000 = 50100
\]
Therefore, the company's sales after 40 months will be **$50,100**.
\[
y = 0.94(40) + 12.5
\]
Calculating \( 0.94 \times 40 \):
\[
0.94 \times 40 = 37.6
\]
Now add 12.5 to this result:
\[
y = 37.6 + 12.5 = 50.1
\]
Since the sales are in multiples of $1000, we need to multiply the result by 1000 to express it in dollars:
\[
y = 50.1 \times 1000 = 50100
\]
Therefore, the company's sales after 40 months will be **$50,100**.