Question

The sales of spicheesy nachos at the local grocery store are currently 3200 bags per month. since twistycheesy were introduced sales of spicheesy have been declining by 48 bags per month. Twisty cheesy currently sells 1400 bags per month and its sales are increasing by 62 bags per month. Write the expression for f(x) and g(x) that represent each product sales.

A) f(x)=3200−48x, g(x)=1400+62x
B) f(x)=3200+48x, g(x)=1400−62x
C) f(x)=3200−62x, g(x)=1400+48x
D) f(x)=3200+62x, g(x)=1400−48x.​

Answer 1

The correct expressions for f(x) and g(x) representing the monthly sales of Spicheesy and Twistycheesy are f(x)=3200-48x and g(x)=1400+62x respectively. Hence, the correct answer is option (A).

Step-by-step explanation:

The student is asked to write the expressions for f(x) and g(x) that represent the sales of Spicheesy nachos and Twistycheesy respectively after their introduction to the local grocery store. Spicheesy nachos sales start at 3200 bags per month and are declining by 48 bags each month.

Twistycheesy sales start at 1400 bags per month and increase by 62 bags each month.

Applying these rates of change to each product gives the expressions for f(x) as 3200 - 48x and for g(x) as 1400 + 62x.

Therefore, the correct option is A) f(x)=3200−48x, g(x)=1400+62x.