Acandle stick burns at the rate of 0.2 inches per hour . after eight straight hours of burning the candle stick is 13.4 inches tall . ( write it out) (y=mx+b)

 The required equation representing the given situation is

Step-by-step explanation:  Given that a candle stick burns at the rate of 0.2 inches per hour . After eight straight hours of burning the candle stick is 13.4 inches tall

We are to write the linear equation in slope-intercept form y = mx + c.

Let us consider that number of hours as x co-ordinates and corresponding length of the candle burnt as y co-ordinates.

Since after 8 hours, the candle is 13.4 inches tall, so in 0 hours, the height of the candle was

So, the linear function will pass through two points (1, 0.2) and (0, 15).

We know that

the slope of a line passing through the points (a, b) and (c, d) is given by

So, the slope of the given linear function will be

Since the function passes through the point (0, 15), so its equation will be

Thus, the required linear equation representing the given situation is

answer: an 8-foot rope is tied from the top of a pole to a

stake in the ground, as shown in the diagram

below

step-by-step explanation: