Concept explainers
a.
To write: An equation to model the sales of tickets
a.
Answer to Problem 7QC
The equation to model the sales of tickets is
Explanation of Solution
Given Information:
A museum chargestickets at the rate of $8.50 for adults and $5.25 for children. It made a sum of $650 on a particular day.
Method Used:
The following approach is used to obtain the desired equation
(1) Assuming two variables corresponding to number of tickets issued to adults and children
(2) Expressing the total cost of tickets in terms of the tickets issued to adults and children
Calculation
Let the number of tickets issued to adults be denoted as a and that to children be b .
For the given cost per ticket for adult $8.50, the total cost of tickets issued to adults is 8. 50a . Similarly for the children, the total cost of tickets is 5.25b. Now, the total sum made out of ticket sales is $650. Thus, the total sum can be expressed in terms of the individual amounts as,
This gives the equation for the given set of conditions.
b.
To graph: The equation representing the ticket sales in the museum on a day.
b.
Explanation of Solution
Given Information:
The equation of the ticket sales during a day in the museum as obtained in part a. is
Graph
The equation can be rearranged as follows.
Now, this is of the form of equation of straight line y=mx+c
The graph can be obtained as follows.
Interpretation
The graph of the equation for sales of tickets is the form of a straight line. This shows that the variation of sales is in a linear fashion.
Chapter 3 Solutions
Glencoe Algebra 2 Student Edition C2014
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