Linear Models Worksheets Grade 8

1. The equation y = 8.5x + 25 models the total cost (y) in dollars for a taxi ride based on distance traveled (x) in miles. What does the slope represent? What does the y-intercept represent?
2. A right triangle is drawn on a coordinate plane with vertices at (0,0), (6,0), and (6,8). A line is drawn from the vertex at (6,8) to a point on the hypotenuse that divides the triangle into two regions of equal area. What are the coordinates of this point?
3. (3x + 15) ÷ 3 = 8

…and 5 more problems

1. Liam is a photographer who specializes in landscape photos. He uses a linear equation to model the total number of photos he has in his portfolio. The equation is y = 7x + 13, where y represents the total number of photos in his portfolio, and x represents the number of months since he started his business. Interpret the meaning of the slope (7) and the y-intercept (13) in the context of this situation.
2. Isabella is saving money to buy a new laptop. She already has $27 in her savings account. She decides to save $7 each week from her allowance. The total amount of money in her account after w weeks can be modeled by the equation T = 7w + 27, where T represents the total amount in dollars. What is the real-world meaning of the number 27 in this equation?
3. A city's public transportation system uses the equation R = 1.75d + 2.50 to calculate the fare R in dollars for a ride based on distance d in miles. If Emma pays $9.75 for her bus ride to school, how many miles did she travel?

…and 4 more problems

1. Aroha runs a small home-based business making and selling handmade candles. She finds that her total cost C (in dollars) to produce x candles can be modeled by the linear equation C = 3x + 15. In this equation, what does the number 3 represent in the context of Aroha's candle business, and what does the number 15 represent?
2. 3² × (5 - 2) + √16 = ?
3. Isabella is tracking the growth of her sunflower plant. She finds that the height of the plant can be modeled by the equation h = 2.7w + 12, where h is the height in centimeters and w is the number of weeks since she planted the seed. What does the number 2.7 represent in this context, and what does the number 12 represent?

…and 3 more problems