(a)
To Calculate:
The processing fee and write a linear equation to represent the total cost C for t tickets.
(a)
Answer to Problem 45PPS
Processing fee = $15
Linear equation of total cost C for t tickets :
Explanation of Solution
Given Information:
There is a processing fee for each order, and the tickets are $52 each. Jackson ordered 5 tickets and the cost was $275.
Let
C = Total cost per order = $275
t = Number of tickets ordered = 5
b = The processing fee for each order
m = Cost of each ticket = $52
Formula Used:
Equation of slope-intercept form of a line is given by:
Where
Calculation:
First , we form the equation :
Let
C = Total cost per order = $275
t = Number of tickets ordered = 5
b = The processing fee for each order
m = Cost of each ticket = $52
Now, we form the equation :
Cost of 1 ticket = $52
So, cost of t tickets = 52t
The processing fee for each order = b
So, the linear equation ( slope-intercept form) of the total cost C , when t tickets purchased per order:
Now , we find t by substituting the values in (1)
Hence, the processing fee per order = $15.
Substituting the value in equation (1)
The required equation of the total cost C , when t tickets purchased per order:
(b)
To Make :
A table of values for at least three other numbers of tickets.
(b)
Explanation of Solution
Given Information:
From part (a)
Equation of the total cost C , when t tickets purchased per order:
Calculation:
t | C | (t,C) | |
1 | 67 | (1,67) | |
2 | 119 | (2,119) | |
3 | 174 | (3,174) | |
4 | 223 | (4,223) |
(c)
To Graph and Find : The equation
Find cost of 8 tickets.
(c)
Answer to Problem 45PPS
Cost of 8 tickets = $431
Explanation of Solution
Given Information:
From part (a) and (b)
Equation of the total cost C , when t tickets purchased per order:
And points on the line are (1,67) , (2,119)
Graph:
To graph the equation, plot the points (1,67) , (2,119) .
Now , draw a line to connect the points .
Calculate:
To find cost for 8 tickets:
Hence, cost of 8 tickets is $431
Chapter 4 Solutions
Algebra 1
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