Question

Find and interpret the rate of change and the initial value.

5. A pizzeria charges $8 for a large cheese pizza,
plus $2 for each topping. The total cost for a large
pizza is given by the equation C = 2t + 8, where t is
the number of toppings. Graph the equation for
t between 0 and 5 toppings, and explain the meaning
of the slope and y-intercept.

Answer 1

Explanation:

The total cost for a large pizza is given by the equation:

C=2t+8

where t is the number of toppings.

Now, when t=0 we have:

C=8

when t=1 we have:

C=10

when t=2 we have:

C=12

when t=3 we have:

C=14

when t=4 we have:

C=16

when t=5 we have:

C=18

i.e. the graph of this equation is the ordered pair:

(0,8) , (1,10) , (2,12) , (3,14) , (4,16) and (5,18)

Now, the slope of this function means the cost of each topping.

and the y-intercept represents the cost of the pizza when there are no toppings.