Question 101·Medium·Linear Functions
The graph shows the total revenue , in dollars, from selling tickets to a school play. Which equation represents the relationship between and ?
For a linear graph, quickly identify the -intercept (this gives in ), then compute the slope using two clear points on the line with . Once you have and , match them to the answer choice.
Hints
Start at the -axis
Look for where the line crosses the -axis. That value is the constant term in the equation.
Use two labeled points
Pick two labeled points on the line and compute the slope using .
Match slope and intercept
Choose the equation whose slope matches your computed slope and whose constant term matches the -intercept.
Desmos Guide
Enter two points from the graph
In Desmos, type the two points shown on the line: (4,110) and (14,260).
Compute the slope
Type (260-110)/(14-4) and note the value Desmos gives for the slope.
Use the intercept and build the equation
From the graph, note the -intercept (where ). Combine your slope and intercept to form an equation of the form , then select the matching choice.
Step-by-step Explanation
Read the -intercept
The -intercept is where the line crosses the -axis ().
From the graph, the line crosses the -axis at , so the equation has the form .
Find the slope from two points
Two labeled points on the line are and .
Compute the slope:
Write the equation
Substitute and the intercept 50: