Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning. After 9 hour

Question

Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning. After 9 hours of burning, a candle has a height of 17.5 centimeters. After 24 hours of burning, its height is 22 centimeters. What is the height of the candle after 22 hours?

in progress 0
Natalia 1 week 2021-09-09T10:52:10+00:00 1 Answer 0

Answers ( )

    0
    2021-09-09T10:53:57+00:00

    Answer:

     The candle has a height of 21.4 cm after burning for 22 hours.

    Step-by-step explanation:

    let x=hours, m=rate of change,  and  y= candle height

    First you have to find the slope or, rate of change using the slope formula.  y2-y1 divided by x2-x1   .        

    Here is our points    (9,     17.5)   and   (24,    22)

                                        x1       y1                 x2     y2

    Now we put these into the equation and solve

    \frac{22-17.5}{24-9}   =\frac{3}{10}

    Now that we have the slope of 3/10 we can use this to find the y-intercept using the point-slope equation.

    y-y_{1} =m(x-x_{1} )                 y-17.5= .3(x-9) Solve

    y-17.5=.3x-2.7                                        y  -14.8=      .3x

     +2.7         +2.7                                         +14.8               +14.8

    y=.3x+14.8                     the y-intercept is 14.8

    Now we use this equation to  plug in the 22 hours.

    y=.3(22) +14.8

    y=6.6+14.8

    y= 21.4    The candle has a height of 21.4 cm after burning for 22 hours.

Leave an answer

Browse
Browse

27:3+15-4x7+3-1=? ( )