Real-Life Slope Problems: Write & Solve Equations

A car is traveling on a straight road that rises 3 feet for every 100 feet it travels horizontally. Write the slope-intercept equation for the car's elevation as a function of distance traveled. What is the slope?

• 5/200

• 3/100

• 1/33

• 2/50

A bike rental shop charges a flat fee of $10 plus $2 for every hour of rental. Write the slope-intercept equation for the total cost of renting a bike for h hours. How much would it cost to rent a bike for 5 hours?

• $15

• $30

• $20

• $25

A gardener is planting a row of trees that will grow at a rate of 1.5 feet per year. If the trees are currently 2 feet tall, write the slope-intercept equation for the height of the trees after t years. What will be their height after 4 years?

• 6 feet

• 4 feet

• 8 feet

• 10 feet

A student is saving money for a new laptop. She saves $25 each week, starting with $50. Write the slope-intercept equation for her total savings after w weeks. How much will she have saved after 10 weeks?

• $400

• $350

• $250

• $300

A train travels at a constant speed of 60 miles per hour. Write the slope-intercept equation for the distance d traveled after t hours. How far will the train travel in 3 hours?

• 90 miles

• 240 miles

• 180 miles

• 120 miles

A swimming pool is being filled at a rate of 500 gallons per hour. If it starts with 1,000 gallons, write the slope-intercept equation for the total volume of water V in the pool after h hours. How much water will be in the pool after 5 hours?

• 3000 gallons

• 4000 gallons

• 2500 gallons

• 3500 gallons

A delivery truck can carry 1,200 pounds of cargo. If it is currently carrying 300 pounds, write the slope-intercept equation for the total weight W of the cargo after x additional pounds are added. What will the total weight be if 200 more pounds are added?

• 800 pounds

• 600 pounds

• 500 pounds

• 1,000 pounds

A restaurant's daily sales increase by $150 each day. If the sales on the first day were $1,000, write the slope-intercept equation for the sales S after d days. What will the sales be after 7 days?

• 2050

• 1800

• 2200

• 1950

A mountain trail rises 4 feet for every 50 feet of horizontal distance. Write the slope-intercept equation for the elevation E of the trail as a function of distance x. What is the elevation after 200 feet?

• 12 feet

• 20 feet

• 16 feet

• 10 feet

A phone plan costs $30 per month plus $0.10 per minute of calls. Write the slope-intercept equation for the total cost C of the plan after m minutes of calls. How much will the total cost be if 200 minutes are used?

• $70

• $60

• $50

• $40