Market data are gathered for ice cream sales, y

, based on the temperature in degrees Fahrenheit, x
. Using the equation of the trend line, y=6.52x+30
, predict the sales in dollars and cents if the temperature is 70°
Fahrenheit.(1 point)
Responses

If the temperature is 70°
Fahrenheit, the sales of ice cream is $486.40.
If the temperature is 70 degrees Fahrenheit, the sales of ice cream is $486.40.

If the temperature is 70°
Fahrenheit, the sales of ice cream is $30.09.
If the temperature is 70 degrees Fahrenheit, the sales of ice cream is $30.09.

If the temperature is 70°
Fahrenheit, the sales of ice cream is $106.52.
If the temperature is 70 degrees Fahrenheit, the sales of ice cream is $106.52.

If the temperature is 70°
Fahrenheit, the sales of ice cream is $75.64.

1 answer

To predict the sales of ice cream at a temperature of 70°F using the equation of the trend line \( y = 6.52x + 30 \), we can substitute \( x = 70 \) into the equation:

\[ y = 6.52(70) + 30 \]

Calculating \( 6.52 \times 70 \):

\[ 6.52 \times 70 = 456.4 \]

Now, add 30:

\[ y = 456.4 + 30 = 486.4 \]

Thus, if the temperature is 70°F, the predicted sales of ice cream is $486.40.

The correct response is:

If the temperature is 70 degrees Fahrenheit, the sales of ice cream is $486.40.