Mathematics VII
Jennifer Kent receives 24 paychecks each year. Each check is for $863.50 before
deductions. What is Jennifer's weekly salary?

$ 863.50

Step-by-step explanation:

375 days a year, 7 days a week

375/7

53.57 weeks in a year

24 paychecks of 863.50 = 46257.695$ a year

46257.695/53.57 = 863.5

you can first factor out the n to get n(1+5). we know that 1+5 is 6, so we just have 6n.

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.