Algebraic Relationships 2

8th Grade AR2. Interpret the meaning of the rate of change and the y-intercept of a linear relationship in a problem setting. Starting January 1st, Jenny puts an equal amount of money in her piggy bank daily. The total amount of money (T) she has is represented by the equation T = 3x + 15 where x is the number of days she has put money in her piggy bank. What is the real-life meaning of the slope in this equation? A. B. C. D.

The amount of money she had before she started saving. The amount of money she puts in each day. The total amount of money Jenny has on any given day. The interest she earns each day.

Fred’s Lemonade Stand’s profit (P) is calculated using the equation P = 0.50L – 7.50 where L stands for the number of glasses of lemonade sold. What is the real-life meaning of the y-intercept (-7.50) in this equation? A. B. C. D.

The cost to buy the supplies and start the business. The amount a customer pays for a glass of lemonade. The cost per glass of lemonade sold. The amount of profit Fred makes on each glass of lemonade.

Sam drives a taxi-cab in New York City and charges a flat fee for entry to his vehicle and then another amount per mile. The graph below illustrates his fees. Which of the following statements is true based on the given graph? A. Sam charges $3 to enter his vehicle and $1 per mile driven B. Sam charges $3 to enter his vehicle and $3 per mile driven C. Sam charges $6 to enter his vehicle and $1 per mile driven D. Sam charges $6 to enter his vehicle and $3 per mile driven

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