A new candle is 12 inches tall. It burn at a rate of 0.75 inches an hour. How tall will it be after 4.6 hours?

8.55 inches

Step-by-step explanation:

We can use the slope intercept form to write this equation

y = mx+b where m is the lope and b is the y intercept

The y intercept, b, is how tall the candle is when we start, 12 inches

The slope is the rate at which it is burning or -.75 (the negative is because it is burning or getting smaller)

y = -.75x+12

or rewriting

t = 12-.75h where h is the hours and t is how tall

We are burning for 4.6 hours

t = 12-.75 (4.6)

t = 12 - 3.45

t = 8.55