The amount a babysitter charges for babysitting services per hour is shown in the table below. What is the rate of change and what does it represent? What is the y Intercept and what does it represent?

y=8x+2

Step-by-step explanation:

the slope is 8 and the y intercept is 2

the slope is 8 dollars the increase of the price per hour. the yintercept is the amount she get for 0 hours (2 dollars)

1,10

2,18

8/1 is 8

10=8*1+b

10=8+b

2=b

14.3

step-by-step explanation:

add all the numbers together.

9 + 12 + 15 + 16 + 17 + 17 = 86

now, divide 86 by how many numbers we have: 6.

86 / 6 = 14.3

55.44 inches

step-by-step explanation:

part a. assuming a perfectly linear relationship, we can find the slope from the first two data points.

slope = m = (change in rainfall)/(change in years)

= (61.80 -62.33)/(2005 -2004) = -0.53/1 = -0.53

then the point-slope form of the equation of the line can be written as

y = m(x -h) +k . . . . . m = -0.53, (h, k) = (0, 62.33)

y = -0.53x +62.33 . . . x = years after 2004

part b. in 2017, x = 2017 -2004 = 13. then the predicted rainfall is

y = -0.53·13 +62.33 = 55.44 . . inches

the predicted rainfall in 2017 is 55.44 in.