A slice of pizza cost $3 plus $0.75 for each additional topping. Write and graph a linear equation to find how many toppings Simon can order with $6

A slice of pizza cost 3 plus 075 for each additional topping Write and graph a linear equation to find how many toppings Simon can order with 6 class=

Respuesta :

Answer:

• Equation: y=3+0.75x

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• Graph: See the Graph below

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• 4 toppings

Explanation:

Let x be the number of additional toppings.

Let y be the total cost.

Fixed Cost = $3

Cost for x toppings = $0.75x

Thus, a linear equation representing this situation is:

[tex]y=3+0.75x[/tex]

Next, we graph the linear equation:

[tex]\begin{gathered} When\;x=0,y=3+0.75\left(0\right)=3\implies(0,3) \\ When\;x=4,y=3+0.75(4)=6\operatorname{\implies}(4,6) \end{gathered}[/tex]

Join the points (0,3) and (4,6) to graph the line:

From the graph:

• When the number of toppings, x=4

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• The total cost, y=$6

Thus, Simon can order 4 toppings with $6.

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