Real-Life Applications: Interpreting Slope and Graphing

A car travels at a constant speed of 60 miles per hour. If the distance traveled is represented by the equation y = 60x, where y is the distance in miles and x is the time in hours, what does the slope represent in this context?

• The slope represents the acceleration of the car.

• The slope represents the time taken to travel a certain distance.

• The slope represents the speed of the car, which is 60 miles per hour.

• The slope represents the total distance traveled by the car.

A gardener is planting a row of flowers. The height of the flowers over time can be modeled by the equation h = 2t + 5, where h is the height in inches and t is the time in weeks. What is the slope of this equation, and what does it indicate about the growth of the flowers?

• The slope is 5, indicating the flowers grow 5 inches per week.

• The slope is 2, indicating the flowers grow 1 inch per week.

• The slope is 3, indicating the flowers grow 3 inches per week.

• The slope is 2, indicating the flowers grow 2 inches per week.

A bike rental shop charges a flat fee of $10 plus $2 for every hour the bike is rented. Write the equation that represents the total cost (C) in terms of hours rented (h). What is the slope of this equation, and what does it represent?

• C = 5 + 2h; slope = 2

• C = 10 + 2h; slope = 2

• C = 10 + h; slope = 1

• C = 10 + 3h; slope = 3

A student is saving money for a new video game. If they save $5 each week, the amount saved can be modeled by the equation S = 5w, where S is the total savings and w is the number of weeks. Graph this equation and identify the slope.

• The slope is 2.5.

• The slope is 0.

• The slope is 10.

• The slope is 5.

A train travels from City A to City B, covering a distance of 150 miles in 3 hours. Write the slope-intercept form of the equation that represents the train's speed. What does the slope tell you about the train's journey?

• y = 75x

• y = 25x

• y = 50x

• y = 100x

A restaurant's revenue can be modeled by the equation R = 150x + 2000, where R is the revenue in dollars and x is the number of meals sold. What does the slope of this equation represent in the context of the restaurant's business?

• The slope indicates the total revenue of the restaurant.

• The slope represents the additional revenue earned per meal sold.

• The slope shows the fixed costs of running the restaurant.

• The slope represents the number of meals sold per dollar earned.

A local gym charges a monthly fee of $30 plus $5 for each class attended. Write the equation for the total cost (C) in terms of the number of classes (c). What is the slope, and how does it relate to the cost of attending classes?

• C = 5c; Slope = 5, representing the cost of the gym membership.

• C = 30 + 10c; Slope = 10, representing the total monthly fee.

• C = 30c + 5; Slope = 30, representing the base fee per class.

• C = 30 + 5c; Slope = 5, representing the cost per class.

A delivery truck travels at a speed of 50 miles per hour. If the distance covered is represented by the equation d = 50t, where d is the distance in miles and t is the time in hours, what does the slope represent? Graph this equation.

• The slope represents the speed of the delivery truck, which is 50 miles per hour.

• The slope represents the total distance covered by the truck.

• The slope represents the time taken for the delivery.

• The slope represents the fuel efficiency of the truck.

A water tank is being filled at a rate of 10 gallons per hour. If the amount of water in the tank is represented by the equation W = 10t, where W is the amount of water in gallons and t is the time in hours, what does the slope indicate about the filling process?

• The slope indicates the filling rate of the tank, which is 10 gallons per hour.

• The slope shows the maximum capacity of the tank.

• The slope represents the total volume of water in the tank.

• The slope indicates the time taken to fill the tank.