Question

A friend gives you two baseball cards for your birthday. Afterward, you begin collecting them. You buy the same number of cards once each week. The equation y = 4x + 2 describes the number of cards, y, you have after x weeks.

Discuss which points on the line do not make sense in this situation. Then plot three more points on the line that do make sense.

Answer 1

Answer:You have 2 cards upfront, so the constant term in this linear equation is 2. The slope represents how many more cards you buy or acquire per day, week or month (depending upon how eager you are to fatten your collection). ;)

y = 2 + (rate of acquisition of cards)(time)

y = 2 + rt