AlgebraHardFunction from an initial value and a later value
Algebra practice question
A candle is 14 centimetres tall when lit and 2 centimetres tall after burning for 6 hours at a constant rate. Which function gives its height h, in centimetres, after t hours, for 0 ≤ t ≤ 7?
- A. h(t) = 14 − 2tCorrect
- B. h(t) = 14 − 6t
- C. h(t) = 2t + 2
- D. h(t) = 14 − t/2
Answer: A. h(t) = 14 − 2t
Rate: (14 − 2)/6 = 2 cm per hour. h = 14 − 2t.
Why the other answers are wrong
- B. h(t) = 14 − 6t
- −6t uses the number of hours as the rate.
- C. h(t) = 2t + 2
- 2t + 2 grows instead of shrinking.
- D. h(t) = 14 − t/2
- t/2 would take 24 hours to burn 12 cm.
More Algebra questions
- Hard
For how many integer values of x is −2 < (x − 5)/3 ≤ 1 true? - Hard
The system 2x + 3y = 6 and 4x + 6y = k has infinitely many solutions. What is the value of k? - Hard
Which of the following is the complete solution set to |x − 4| < 6? - Hard
A student has $40 to spend on notebooks costing $4 each and pens costing $2 each, and wants at least 12 items … - Hard
What is the least whole number of minutes of international calling in a month for which the total monthly cost… - Hard
How many liters of the 30% acid solution did the technician use?
Not affiliated with the College Board. SAT is a trademark of the College Board.