Question

problem 7c
pizza palace charges according to this graph.
za kingdom charges according to this table.

pizzas	1	3	10

will the total cost to deliver the same number of pizzas ever be the same for pizza palace and za kingdom?
yes
no

Explanation:

Step1: Find Pizza Palace's cost equation

First, identify two points on the graph: (0,10) (y-intercept, $b=10$) and (10,90). Calculate slope $m$:
$m=\frac{90-10}{10-0}=\frac{80}{10}=8$
Equation: $y=8x+10$

Step2: Find Za Kingdom's cost equation

Use table points (1,21) and (3,37). Calculate slope $m$:
$m=\frac{37-21}{3-1}=\frac{16}{2}=8$
Substitute (1,21) into $y=8x+b$:
$21=8(1)+b \implies b=13$
Equation: $y=8x+13$

Step3: Compare the two equations

Set the equations equal:
$8x+10=8x+13$
Subtract $8x$ from both sides:
$10=13$ (false, no solution)

Answer:

No