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Veseljchak [2.6K]
3 years ago
10

In the function y = .08x + 5, y represents the cost of water per gallons and x represents the number of gallons. How much does t

he cost of water increase for every gallon?
Mathematics
2 answers:
ki77a [65]3 years ago
8 0

Answer: $0.08 every gallon

Step-by-step explanation:

Given: In the function y = 0.08x + 5, y represents the cost of water per gallons and x represents the number of gallons.

We can see that the given function is a linear function.

We know that a linear function has constant rate of change throughout the function.

The rate of a linear function is given by its slope.

In the given intercept form equation, the slope of the function (coefficient of x) = 0.08

Hence, the cost of water increases for $0.08 every gallon.

r-ruslan [8.4K]3 years ago
7 0
It increases by 0.08 since the graph is linear.
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2. The volume of both of these trapezoidal prisms is 24 cubic units. Their
Valentin [98]

Answer:

area of a trapezoidal base  of each prism with heights  6 and 8 units are 4 square units and 3 square units respectively

Step-by-step explanation:

Let us first be aware of formula of volume for any regular geometrical figure.

Fundamental formula for  volume for any regular geometrical figure is.

volume = area of cross section of object*  height of object (A)

In the problem stated area of cross section of object will be  area of a trapezoidal base.

Given in the question is

Volume of both the trapezoidal prisms = 24 cubic units

*************************************************************************************

For prism with height 6 unit

Substituting the value of height and volume in formula for trapezoidal prisms

24 = 6 * area of a trapezoidal base

=> area of a trapezoidal base = 24/6 = 4 square units

*************************************************************************************

For prism with height 8 unit

Substituting the value of height and volume in formula for trapezoidal prisms

24 = 8 * area of a trapezoidal base

=> area of a trapezoidal base = 24/8 = 3 square units

*************************************************************************************

Therefore area of a trapezoidal base  of each prism with heights  6 and 8 units are 4 square units and 3 square units respectively.

4 0
3 years ago
-3(6-4x)-5(-x+8)= 4(2-5x )
loris [4]
You may express it as :

-18+24x+5x-40=8-20x
49x=56
x=56/49
5 0
3 years ago
In an agricultural class, there are 17 freshmen students and 19 sophomore students. What ratio compares the number of freshmen t
zheka24 [161]

Answer:

  B. F:S = 17 to 19; S:F = 19 to 17

Step-by-step explanation:

Put the corresponding numbers in the corresponding parts of the ratio you want to write:

  freshmen to sophomores (F:S)

  17 to 19

___

  sophomores to freshmen (S:F)

  19 to 17

These pairs of numbers match choice B.

5 0
3 years ago
You are considering the services of three different employment agencies, all of which can get you a job that starts at $2,000 a
Sunny_sXe [5.5K]

Answer:

Agency C offers the least expensive overall fee

Step-by-step explanation:

Alone from gross salary, you would make 24000 a year.

Agency A

24000 - ( 2000 x 0.5)

= 23,000

$1000 fee

Agency B

24000 - ( 2000 x 0.1 ) x 6

= 24000 - 200 x 6

= 24000 - 1200

= 22,800

$1200 fee

Agency C

24000 - (500 + 100)

= 24000 - 600

= 23,400

$600 fee

4 0
3 years ago
What is the equation of the line that goes through the point (6,-1) and is parallel to the line represented by the equation belo
stepladder [879]

\huge{\boxed{y=-\frac{5}{6} x+4}}

Parallel lines share the same slope, so the slope of the parallel line in this case must be -\frac{5}{6}.

Point-slope form is y-y_1=m(x-x_1), where m is the slope and (x_1, y_1) is any known point on the line.

Plug in the values. y-(-1)=-\frac{5}{6} (x-6)

Simplify and distribute. y+1=-\frac{5}{6} x+5

Subtract 1 from both sides. \boxed{y=-\frac{5}{6} x+4}

6 0
3 years ago
Read 2 more answers
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