y-intercept from Word Problems

Master y-intercepts in word problems! Practice writing linear equations and interpreting their meaning.

1. Lin is tracking the progress of her plant’s growth. Today the plant is 5 cm high. The plant grows 1.5 cm per day. Write a linear equation that represents the height of the plant after d days. m: 1.5b: 5Equation: y= 1.5x + 5 2. Lin is tracking the progress of her plant’s growth. Today the plant is 5 cm high. The plant grows 1.5 cm per day.What is the rate of change and what does it represent? m= 1.5 cm Which represents how much the plant grows (in cm) per day. m = 5 cm represents the height of the plant. m = -1.5 cm represents how quick the plants die. m = 6.5 cm represents the start plus how much it grows per day. 4. Mr. Thompson is on a diet. He currently weighs 260 pounds. He loses 4 pounds per month. Write a linear equation that represents Mr. Thompson’s weight after m months.Fill in the blanks to write the equation. m: -4b: 260y= -4 x + 260 6. Paul opens a savings account with $350. He saves $150 per month. Assume that he does not withdraw money or make any additional deposits. Write a linear model that represents the total amount of money Paul deposits into his account after m months.Fill in the blanks to write the equation. m: 150b: 350y = 150 x + 350 7. Paul opens a savings account with $350. He saves $150 per month. Assume that he does not withdraw money or make any additional deposits. What is the y-intercept and what does it represent? 8. The population of Bay Village is 35,000 today. Every year the population of Bay Village increases by 750 people. Write a linear model that represents the population of Bay Village x years from today.Fill in the blanks to write the equation. y = 750 x + 35000 9. What is the y-intercept and what does it represent? 35,000 is the y-intercept which represents the current population 750 is the y-intercept which represents the current population 35,750 is the y-intercept which represents the population in one year 750 is the y-intercept which represents the increase in people per year.