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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.

Verified Answer :

Answer with 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.

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boffeemadrid

The points on the graph are required.

The required graph is attached below.

The slope will be the cost of one topping which is $2.

The cost of a large pizza without any toppings is the y intercept which is @@MATH_TOKEN_0@@

The equation is

@@MATH_TOKEN_1@@

where,

C = Total Cost of pizza

t = Number of toppings

Cost of large pizza is $8.

For t between 0 and 5

\(C(0)=2\times 0+8=8\)

\(C(1)=2\times 1+8=10\)

\(C(2)=2\times 2+8=12\)

\(C(3)=2\times 3+8=14\)

\(C(4)=2\times 4+8=16\)

\(C(5)=2\times 5+8=18\)

Mark the points in the graph.

The slope will be the cost of one topping which is $2.

The point where the line of the equation will intersect the y axis is called the y intercept. So, \(x=0\) at that point.

In this case, the point where the number of toppings will be zero is the y intercept.

The cost of a large pizza without any toppings is the y intercept which is \((0,8)\)

Learn more:

https://brainly.com/question/6904379?referrer=searchResults

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