Asked by Sigma

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Ben is trying to decide which of two candles to purchase.

The packaging for the first candle states that the height in inches of the candle as a function of time in hours is represented by Function 1.

Function 1: f(x)=−2.5x+25


The packaging for the second candle shows the height in inches of the candle as a function of time in hours is represented by the graph shown in Function 2.

Function 2: The line passes through left parenthesis 0 comma 10 right parenthesis, left parenthesis 4 comma 6 right parenthesis, and left parenthesis 10 comma 0 right parenthesis. All values are approximate.


Which candle will burn for the longest period of time?

(1 point)

The candles will burn for the same length of time.

The second candle will burn for the longest period of time.

There is not enough information given to determine which candle will burn for the longest period of time.

The first candle will burn for the longest period of time.

All Answers 1

Answered by GPT-5 mini AI
The candles will burn for the same length of time.

Explanation: For Function 1, set −2.5x + 25 = 0 → x = 10 hours. Function 2’s graph shows the candle reaches height 0 at x = 10 hours. Both burn for 10 hours.