Linear Graphs: Interpret & Solve Real-World Problems

A company tracks its profits over time, and the graph shows a linear increase. If the profit after 3 months is $500 and increases by $200 each month, what is the equation representing the profit in terms of months?

• Profit = 200m - 100

• Profit = 300m - 100

• Profit = 500 + 200m

• Profit = 200m + 100

The graph of a linear function shows the distance traveled by a car over time. If the car travels 60 miles in 1 hour, what is the equation of the line representing the distance in terms of time?

• y = 30x

• y = 60 + x

• y = 60x

• y = 60x + 10

A scientist records the growth of bacteria, and the graph shows a linear relationship. If the bacteria count is 100 at hour 0 and increases by 50 every hour, what will the count be after 5 hours?

• 250

• 350

• 400

• 300

A school is planning a fundraiser, and the graph shows the amount of money raised over time. If they raised $300 in the first week and $150 each subsequent week, what is the equation for the total amount raised after 'w' weeks?

• Total = 300w

• Total = 150w + 300

• Total = 150w - 150

• Total = 150w + 150

A store's sales are represented by a linear graph. If the sales were $800 in the first month and increased by $100 each month, what is the equation for the sales after 'm' months?

• y = 800 + 100m

• y = 900 + 100m

• y = 100m + 8000

• y = 800 - 100m

A bike rental service tracks the number of bikes rented over time. If they started with 20 bikes rented and the number increases by 10 each day, what is the equation for the number of bikes rented after 'd' days?

• 20 + 10*d

• 20 - 10*d

• 30 + 10*d

• 10 + 20*d

A gym tracks the number of members over time, and the graph shows a linear increase. If there were 150 members at the start and the number increases by 30 each month, what will the total number of members be after 4 months?

• 270

• 300

• 240

• 180

A farmer measures the growth of his crops, and the graph shows a linear trend. If the crop yield was 200 pounds at the start and increases by 50 pounds each week, what is the equation for the yield after 'w' weeks?

• Y = 200 - 50w

• Y = 50w

• Y = 200 + 25w

• Y = 200 + 50w

A library tracks the number of books checked out over time, and the graph shows a linear increase. If 100 books were checked out in the first month and 20 more each month, what will the total be after 6 months?

• 250

• 220

• 180

• 200

A tech company monitors its website traffic, and the graph shows a linear increase. If the traffic was 1,000 visits in the first month and increases by 200 visits each month, what is the equation for the number of visits after 'm' months?

• v = 1000 + 200m

• v = 800 + 250m

• v = 1000 - 200m

• v = 1200 + 150m