Question

The height of a burning candle can be modeled by a linear function.

Candle A has an initial height of 201 millimeters, and its height
decreases to 177 millimeters after 4 hours of burning. The height, h,
in millimeters, of Candle B can be modeled by the function
h = 290-5t, where t is the time in hours. Which of the following
statements are true? Select all that apply.
the initial

Answer 1

below

Explanation:

• We know that the initial height of Candle A is 201 millimeters and of Candle B is 290 millimeters which means the first statement is not true.

• To find the rate at which the Candle A is decreasing, we simply have to divide 201 - 177 with 4.

24 / 4 = 6

As we can see Candle A is decreasing at a faster rate of 6 than the rate of decreasing of Candle B which is 5. This means that second statement is true.

• To find out after how many hours will the Candle B burn out we simply have to divide the initial value with the rate of change which is 5.

290 / 5 = 58

Candle B will burn out after 58 hours. This statement is true.

• We simply have to multiply the rate of change with 10 and after that subtract the value that we get from the initial value of Candle A.

10 x 6 = 60

201 - 60 = 141

After 10 hours the height of Candle a will be 141 millimeters. This statement is true.

• We know that Candle A is burning out at a faster rate and that the Candle B was higher at start which means that

Candle A will burn out before Candle B. This statement is true.