For which situation does one quantity change at a constant rate per unit interval relative to another quantity? responses.

Answers

Answer 1

An employee earns $14 per hour and a trainer charges $20 for every 30 minutes of training plus a $5 tip are a constant rate per unit interval. Therefore, options A and E are the correct answers.

Given that:

an employee earns $14 per hour.

constant rate of change :

When something has a constant rate of change, one quantity changes in relation to the other. For example, for every half hour the pigeon flies, he can cover a distance of 25 miles. We can write this constant rate as a ratio. For ratios, it's always a good idea to state both units in whole terms.

A). Let the number of hours be x and the total money earned be y

So, y = 14x

B). Let the money earn by an employee each year be a and total earning in a year be b.

So, b=a+3% of a

⇒ b = a + 0.03a

⇒ b = 1.03a

C) Let the number of months be m and the total charge be t

So, t=50+30m

D) Let cost of gym equipment be p, rate of change =8% and time period = 6 months

So,

E) Let the number of hour be x.

Here, 30 minutes = 1/2 hours

Total charge = 20 + 5x/2

An employee earns $14 per hour and a trainer charges $20 for every 30 minutes of training plus a $5 tip are a constant rate per unit interval. Therefore, options A and E are the correct answers.

Learn more about the interval here:

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Full question :

For which situation does one quantity change at a constant rate per unit interval relative to another quantity? responses.

Select all that apply

A. An employee earns $14 per hour.

B. An employee earns a 3% raise each year.

C. A gym charges a $50 down payment plus $30 per month.

D. A piece of gym equipment decreases 8% in value every 6 months.

E. A trainer charges $20 for every 30 minutes of training plus a $5 tip.

Related Questions

A poster is 3 feet long and 30 inches wide. What is the area, in feet, of the painting?

Answers

Answer:

90 feet

Step-by-step explanation:

30x3=90

Answer:

7.5 feet

Step-by-step explanation:

Convert inches to feet

30 inches as feet would be 2.5 feet

Multiply

3×2.5=7.5

Maya goes bowling with her friends. She has a total of $25 to spend. If shoes cost $4 to
rent and each games costs $3.50, how many games can she play?

Answers

Answer:

She can play 7 games

Step-by-step explanation:

Substrate 4 from 25

please help, ty if you do :D

Answers

Answer:

Your Answer is going to be C

x + y = 8
2x2 – y = –5

Answers

Answer:

x=-2,y=10

Step-by-step explanation:

y=8-x.............equation 1

4-y=-5..........equation 2

Now,

putting the value of y in equation 2,

4-(8-x)=-5

4-8+x=-5

-3+x=-5

x=-5+3

x=-2

Then,

putting the value of x in equation 1

y=8+2

y=10

Solve the equation 506x - 92y + 90 = 498 - 4x + 6y

Answers

506 x - 92 y + 90 = 498 - 4 x + 6 y

Geometric figure:

line

y = (255 x)/49 - 204/49

510 x - 98 y - 408 = 0

506 x - 92 y + 90 = 6 (y + 83) - 4 x

Real solution:

y = (255 x)/49 - 204/49

Solution:

y = (255 x)/49 - 204/49

Integer solution:

x = 49 n + 40, y = 255 n + 204, n element Z

Solution for the variable y:

y = 51/49 (5 x - 4)

Answer:

Hi! The answer to your question is [tex]x =\frac{49y}{255} +\frac{4}{5}[/tex]

Step-by-step explanation:

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☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka

9. Find the relative frequency of students with July birthdays given the following table:
Birth Month. Number of Students

August. 2
September. 1
October. 2
November. 5
December. 3
January. 1
February. 2
March. 2
April. 1
May. 0
june. 4
July. 2

Answers

Answer:

2,5,3,2,1,0,4,this is the number of students

Determine whether -6 is a solution of the inequality.
x = 6
Yes
No

Answers

Answer:

Step-by-step explanation:

x must be 6

Please help! Simple math! Will give brainliest! Write an equation where a number is added to a variable, and a solution is -8. Thank you!

Answers

Answer:

x+4=-8

Step-by-step explanation:

The variable x in this case would be -12.

Answer:

If your asking what I think you are then here is one.

a=2

-10+a=-8

Step-by-step explanation:

In ΔQRS, the measure of ∠S=90°, the measure of ∠Q=41°, and SQ = 94 feet. Find the length of QR to the nearest tenth of a foot.

Answers

Answer:

124.6

Step-by-step explanation:

maths

plz someone tell me what 7x2 is

Answers

Answer:

Step-by-step explanation:

What is the value of the flowers?

Answers

Answer:

Step-by-step explanation:

6*6=36

6+10=16

2*10=20

Flower=10-6+20=24

Can someone help me with this please

Answers

Answer:

-19, -8, 0, 1/2, 1/4

12, 1 1/2, 5, -12, -19

Step-by-step explanation:

Answer:

1) So sorry but I dont know this one.

2) -19, -8, 0, 1/4, 1/2

3) 12, 5, 3/2, -12, -19

Step-by-step explanation:

What would be different if you started your day with a feeling of being in control?

Answers

it would make me feel like i’m somebody and i have power(for good use)

Answer:

I would feel like I have a lot of power and I would use that to try to help people.

Rhianna took a total of 10 pages of notes during 2 hours of class. In all, how many hours will Rhianna have to spend in class before she will have a total of 15 pages of notes in her notebook? Assume the relationship is directly proportional.

Answers

Answer:

Step-by-step explanation:

if 10 pgs = 120 mins

then 15 pgs = 15 × 120÷10

=1800÷10

= 180 mins

if 60 min = 1 hr

then 180 min = 180×1÷60

= 3 hrs

thus it will take her 3hours

10 pages 2 hrs
15 pages x hrs
x=15•2/10
x=3 hrs

PLS HELP I AM TIMED I WILL MARK BRAINLIEST///A rectangular prism has dimensions 2 feet by 3 feet by h feet.
Which of the following expressions represents the surface area, in square feet, of the
prism?
a. 5h + 6
b. 5h + 12
c. 10h + 6
d. 10h + 12

Answers

Answer:

5h+6

Step-by-step explanation:

I was litterly just doing this trust me im right lol

Answer:

D. 10h+12

Step-by-step explanation:

You have to multiply to find the area of each rectangle. There are 3 pairs of rectangles that are identical to one another.

2*h = 2h * 2 = 4h

3*h = 3h *2 = 6h

2*3 = 6 *2 = 12

10h+12

what is |12.8| equal I am so confused

Answers

Answer:

|12.8| has a magnitude of 12.8

If that's not what you are asking, here's another possible answer:

12.8=12 4/5

12.8= 1280%

Step-by-step explanation:

Hope this helps!

Which inequalities have 4 as a solution? 1. X-85.2 <_ 14.6 4. 8x <_ 128 2. X/6> -23 5. X+4.7>21.6 3. X-43<37 Put the numbers together to form the code.

Answers

Given:

The inequalities are:

1. [tex]x-85.2\leq 14.6[/tex]

2. [tex]\dfrac{x}{6}>-23[/tex]

3. [tex]x-43<37[/tex]

4. [tex]8x\leq 128[/tex]

5. [tex]x+4.7>21.6[/tex]

To find:

The inequalities that have 4 as a solution.

Solution:

We need to put [tex]x=4[/tex] in each inequality, to check whether it is a solution or not.

1. The inequality is

[tex]x-85.2\leq 14.6[/tex]