Question

My grandfather has a baseball card collection of 500 cards. Each week he collects 10 more cards.

A. Write an equation to represent this scenario.
B. How many cards will my grandfather have one year from today? (52 Saturdays from now)
C. If this pattern has been happening for a long time, how many weeks ago did my grandfather start?

Answer 1

A. The equation to represent the scenario is 500 + 10w. B. One year from today, my grandfather will have 1020 cards. C. We cannot determine the number of weeks ago my grandfather started if the pattern has been happening for a long time.

Step-by-step explanation:

A. Let's define the number of weeks as w. The number of cards collected each week is 10. We can represent the total number of cards collected by my grandfather as 500 + 10w.

B. To find the number of cards my grandfather will have one year from today (52 Saturdays from now), we substitute w = 52 into the equation 500 + 10w. This gives us 500 + 10(52) = 500 + 520 = 1020 cards.

C. If this pattern has been happening for a long time, we can find the number of weeks ago my grandfather started by solving the equation 500 + 10w = 0 for w. In this case, w would be negative, indicating that it happened in the past.