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: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall   is needed to match the record of 40 inches is given by

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.

(- 1, 0 )

step-by-step explanation:

an x- intercept is where the function crosses the x- axis.

to find the x- intercept/s look for the value of x when f(x) = 0

from the given table there are 3 values of x where f(x) = 0

when x = - 1, x = 2, x = 3

the one that is listed is (- 1, 0 )