16Hit1600
AlgebraHardRate of change from a table in context

Algebra practice question

Week: 0, 2, 4, 6 Amount ($): 300, 270, 240, 210

The table shows the amount of money in a savings jar at the start of several weeks. The amount changes by the same number of dollars each week. Which statement is true?

  1. A. The amount decreases by $15 each week and will reach $0 at the start of week 20.Correct
  2. B. The amount decreases by $20 each week.
  3. C. The amount increases by $15 each week.
  4. D. The amount will reach $0 at the start of week 16.

Answer: A. The amount decreases by $15 each week and will reach $0 at the start of week 20.

From week 0 to week 4 the amount falls 60, so 15 per week. 300 ÷ 15 = 20 weeks to reach 0.

Why the other answers are wrong

B. The amount decreases by $20 each week.
The drop over 4 weeks is 60, so 15 per week, not 20.
C. The amount increases by $15 each week.
The amount is falling.
D. The amount will reach $0 at the start of week 16.
At week 16 there is still 300 − 240 = $60.

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