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

Answer:
• Equation: y=3+0.75x
,• Graph: See the Graph below
,• 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
,• The total cost, y=$6
Thus, Simon can order 4 toppings with $6.