Solve the system of equations. y - x = 5 y= 3x + 13
1 answer:
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Answer:
The cost per child is $2.50 more at Mr. Bob’s Buffet than it is at Sally’s Pizza Safari
Step-by-step explanation:
<u><em>The missing table in the attached figure</em></u>
step 1
Find the cost per child at Mr. Bob’s Buffet
we know that
The cost per child or unit rate is the same that the slope of the linear equation
From the graph take two points
(0,0) and (4,60)
<em>Find the slope</em>
The formula to calculate the slope between two points is equal to
substitute
step 2
Find the cost per child at Sally’s Pizza Safari.
From the data in the table
we have
(4,50) and (6,75)
<em>Find the slope</em>
The formula to calculate the slope between two points is equal to
substitute
step 3
<u><em>Verify each statement</em></u>
case A) The cost per child is $2.50 more at Mr. Bob’s Buffet than it is at Sally’s Pizza Safari
The statement is true
Because
The cost per child is $15 at Mr. Bob’s Buffet
The cost per child is $12.50 at Sally’s Pizza Safari
The difference is $2.50 per child
case B) The cost per child is $10.00 more at Mr. Bob’s Buffet than it is at Sally’s Pizza Safari
The statement is false (see the explanation)
case C) The cost per child is $15.00 more at Mr. Bob’s Buffet than it is at Sally’s Pizza Safari
The statement is false (see the explanation)
case D) The cost per child is $5.00 more at Mr. Bob’s Buffet than it is at Sally’s Pizza Safari.
The statement is false (see the explanation)
