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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.

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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.

Ver imagen lidaralbany

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 [tex](0,8)[/tex]

The equation is

[tex]C=2t+8[/tex]

where,

C = Total Cost of pizza

t = Number of toppings

Cost of large pizza is $8.

For t between 0 and 5

[tex]C(0)=2\times 0+8=8[/tex]

[tex]C(1)=2\times 1+8=10[/tex]

[tex]C(2)=2\times 2+8=12[/tex]

[tex]C(3)=2\times 3+8=14[/tex]

[tex]C(4)=2\times 4+8=16[/tex]

[tex]C(5)=2\times 5+8=18[/tex]

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, [tex]x=0[/tex] 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 [tex](0,8)[/tex]

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

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