You are putting a rectangular hot tub on your back porch. it is 6 feet long, 5 feet wide, and 3 feet deep. a) how many cubic feet can the hot tub hold if it is completely full? b) how many gallons can it hold? (1 cubic foot = 7.418 gallons) c) how much will it cost to fill the hot tub if water costs $5 per 1000 gallons?

a) The hot tub can hold 90 cubic feet when completely full.

b) the Hot tub ca hold 667.62 gallons.

c) It will cost approximately $3.34 to fill the hot tub with water.

Step-by-step explanation:

Given:

Length of the tub = 6 feet

Width of the tub = 5 feet

Height of the tub = 3 feet.

a) We need to find how many cubic feet can the hot tub hold if it is completely full.

Now we will find the volume of the tub;

Now Volume of the tub is given by length times width times height.

framing in equation form we get;

Volume of the tub =

Hence The hot tub can hold 90 cubic feet when completely full.

b) Now we need to find how many gallons can it hold.

Given:

1 cubic foot = 7.418 gallons

90 cubic foot = number of gallons hot tub can hold.

By using Unitary method we get;

number of gallons hot tub can hold =

Hence the Hot tub ca hold 667.62 gallons.

c) Now we need to find how much will it cost to fill the hot tub if water costs $5 per 1000 gallons.

Now Given:

1000 gallons = $5

667.62 gallons = Cost to fill the hot tub with water.

By Using Unitary method we get;

Cost to fill the hot tub with water =

Hence It will cost approximately $3.34 to fill the hot tub with water.

the answer is the option b

the range is all real numbers

step-by-step explanation:

we know that

the absolute value parent function is equal to

see the attached figure to better understand the problem

so

a. it is v-shaped > is true

b. the range is all real numbers > is not true

because the range is the > [0,∞)

all real numbers greater than or equal to zero

c. it goes through the origin > is true

d. the domain is all real numbers > is true

step-by-step explanation:

1. d.90

2. e. none of these (80)

3. a. 0

4. b. 6

5. e. none of these (10)

6. a. 5