The Umbrella Corporation has found that in any given month, they sell fewer umbrella when the cost of the umbrella is higher. When the price of the umbrella is $10, they sell on average 18,000 umbrellas. When the price of the umbrellas is $16, they sell on average 9,000 umbrellas. (a) Write a linear function U(p) that predicts the number of umbrellas sold based on the price p.
(b) How many umbrellas do they expect to sell if they raise the price to $20?

The answer is below

Step-by-step explanation:

a) A linear function shows the relationship between variables. A linear equation is in the form: y = mx + b, where m is the rate of change, b is the value of y when x = 0, y is the dependent variable and x is an independent variable.

Let U represent the number of umbrellas and p the price of the umbrella. At $10 the number of umbrella sold is 18000, it can be represented as (10, 18000) i.e. (p, U)

At $16 the number of umbrella sold is 9000, it can be represented as (16, 9000).

The linear function is determined using:

Given (10, 18000) and (16, 9000):

b) At p = $20, The number of umbrella is:

U(20) = -1500(20)+33000

U(20) = 3000 umbrella

the most boring ever written

step-by-step explanation:

i am writing something. yes, i plan to make it the most boring thing ever written. i go to the store. a car is parked. many cars are parked or moving. some are blue. some are tan. they have windows. in the store, there are items for sale. these include such things as soap, detergent, magazines, and lettuce. you can enhance your life with these products. soap can be used for bathing, be it in a bathtub or in a shower. apply the soap to your body and rinse. detergent is used to wash clothes. place your dirty clothes into a washing machine and add some detergent as directed on the box. select the appropriate settings on your washing machine and you should be ready to begin. magazines are stapled reading material made with glossy paper, and they cover a wide variety of topics, ranging from news and politics to business and stock market information. some magazines are concerned with more recreational topics, like sports card collecting or different kinds of hairstyles. lettuce is a vegetable.