Concept explainers
A sign says that 3 tickets cost $ 22.50 and that 7 tickets cost $ 52.50. Write an equation in
To Write: An equation in point-slope form that represents the cost of the tickets. Also, graph the equation.
Answer to Problem 23P
Explanation of Solution
Given information: 3 tickets cost $22.50 and that 7 ticket cost $52.50.
Formula used: Point-slope form is
Calculation:
From given information make two points as (3, 22.50) and (7,52.50)
Find slope of the line using the formula
Simplify it,
Now, use any of the given points and slope as 7.5 into the formula
Here, use (3,22.50) as a point to get equation as
Point-slope form of a line is
Represent the point (3,22.50) and the another point (7,52.50) on the xy plane then join them and extend the line on both ends.
The graph starts at (0,0) because in real life situation the number of tickets purchased cannot be a negative number. So, the graph lies in first quadrant and passes through (0,0) and (7,52.5).
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