Jeanne makes hair bows to sell at the craft fair. each bow requires 1.5 yards of ribbon.
a. at the fabric store, ribbon is sold by the foot. if jeanne wants to make 84 bows, how many feet of ribbon must she buy? show all your work.
b. if the ribbon costs 10¢ per foot, what is the total cost of the ribbon in dollars? explain your reasoning, including how you decided where to place the decimal.
c. a manufacturer is making 1,000 times as many bows as jeanne to sell in stores nationwide. write an expression using exponents to show how many yards of ribbon the manufacturer will need. do not calculate the total.

a) 378 foot

b) 3780¢

c)

Step-by-step explanation:

Given: Ribbon required to make 1 bow = 1.5 yards

We know that 1 yard = 3 foot

a) Number of bows Jeanne wants to make = 84

Foot of ribbon required to make 84 bows

= Number of bows Jeanne wants to make × Ribbon required to male 1 bow

= 84 × 1.5 yards

= 126 × 3 foot = 378 foot

Thus, Jeanne requires 378 foot of ribbon to make 84 bows.

b) Cost of ribbon = 10¢ per foot

Total money required to buy ribbon

= Cost of ribbon × Amount of ribbon required in foot

= 10 × 378

= 3780.00¢

c) Number of bows manufacture wants to make = 84 × 1000

= 84,000 bows

Amount of ribbon required to make bows

= 1000 × Amount of ribbon required to make 84 bows

=  1,000 × 378 = 378000 foot

To write it in exponential form:

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.