Understanding Graphs: Intercepts and Trends in Real Life

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. If you graph the total cost (y) against the miles driven (x), what does the y-intercept represent?

• The y-intercept represents the flat fee of $50.

• The y-intercept represents the cost per mile driven.

• The y-intercept represents the total cost after driving 100 miles.

• The y-intercept represents the maximum cost of renting a car.

Using the same car rental company, if you drove 100 miles, what would the total cost be? How can you find this using the graph?

• Total cost is $200 regardless of distance.

• Total cost is $X (replace X with the value found on the graph).

• Total cost is $50 based on the graph.

• Total cost is $75 if you return the car early.

A local gym has a membership fee of $30 per month. If you graph the total cost (y) against the number of months (x), what does the slope of the line represent?

• The slope represents the total cost after one month.

• The slope represents the initial signup fee of $30.

• The slope represents the number of months.

• The slope represents the monthly membership fee of $30.

If the gym membership cost is graphed and the line passes through the point (6, 180), what does this point represent in the context of the problem?

• The gym membership costs $30 per month after 6 months.

• The gym membership is free for the first 6 months.

• The total cost of the gym membership after 6 months is $180.

• The total cost of the gym membership after 6 months is $60.

A school is selling tickets for a play at $10 each. If they sell 50 tickets, how can you use the graph of total sales (y) versus number of tickets sold (x) to find the total revenue?

• $1000

• $700

• $300

• $500

If the graph of ticket sales shows a linear trend, what can you infer about the sales over time?

• Sales are changing at a constant rate over time.

• Sales will eventually decline to zero.

• Sales are increasing exponentially over time.

• Sales fluctuate randomly without a pattern.

A farmer sells apples for $2 per pound. If the graph of total earnings (y) versus pounds sold (x) shows a line with a slope of 2, what does this tell you about the relationship between pounds sold and earnings?

• The earnings increase by $1 for each pound of apples sold.

• The earnings decrease by $2 for each pound of apples sold.

• The earnings increase by $2 for each pound of apples sold.

• The earnings remain constant regardless of pounds sold.

If the farmer's earnings graph intersects the y-axis at (0, 0), what does this indicate about the earnings when no apples are sold?

• The earnings are zero when no apples are sold.

• The earnings are high when no apples are sold.

• The earnings are constant regardless of apple sales.

• The earnings are negative when no apples are sold.

A city’s population growth can be modeled by a linear graph. If the graph shows a steady increase, what does this trend suggest about the population over time?

• The population will decline over time.

• The population will continue to grow steadily over time.

• The population will remain constant indefinitely.

• The population will fluctuate randomly without a clear trend.

If the population graph shows a point where the line flattens out, what might this indicate about future growth?

• Future growth may stabilize or decline.

• Future growth will increase rapidly.

• Future growth will remain constant indefinitely.

• Future growth will fluctuate wildly without any pattern.