Question

1. the function f(x) = 2.75x + 16 represents the cost, in dollars, of a large pizza with x toppings. what does the 2.75 represent? type a response

Explanation:

Step1: Analyze the function structure

The function is in the form \( f(x)=mx + b \), where \( m \) is the slope (rate of change) and \( b \) is the y - intercept (initial value). Here, \( f(x)=2.75x + 16 \), and \( x \) represents the number of toppings.

Step2: Interpret the coefficient of x

In the context of the cost of a pizza with \( x \) toppings, the coefficient of \( x \) (2.75) represents the rate at which the cost changes with respect to the number of toppings. So, it is the cost per topping (in dollars per topping).

Answer:

The value 2.75 represents the cost (in dollars) of each additional topping, or the cost per topping.