1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
goldenfox [79]
3 years ago
5

Karissa earns $200 per week plus $25 per item she sells. What is the equation that models the relationship between her pay per w

eek and the number of item that she sells? Show steps please!
Mathematics
1 answer:
Digiron [165]3 years ago
4 0
Let p = her pay per week.

<span>"Karissa earns $200 per week plus $25 per item she sells."

She earns a fixed amount of $200 per week no matter how much she sells.
Then she earns an additional variable amount that depends on the number of items she sells. It is $25 per item.

p = fixed amount + variable amount

The variable amount is:
If she sells 1 item, she earns 25 * 1
If she sells 2 items, she earns 25 * 2
If she sells 3 items, she earns 25 * 3
If she sells n items, she earns 25 * n
The variable amount she earns is 25n, where n is the number of items she sells.

</span>
<span>p = fixed amount + variable amount

p = 200 + 25n
</span>
You might be interested in
Can someone plz help me with this!
asambeis [7]

Answer:

(arranged from top to bottom)

System #3, where x=6

System #1, where x=4

System #7, where x=3

System #5, where x=2

System #2, where x=1

Step-by-step explanation:

System #1: x=4

2x+y=10\\x-3y=-2

To solve, start by isolating your first equation for y.

2x+y=10\\y=-2x+10

Now, plug this value of y into your second equation.

x-3(-2x+10)=-2\\x+6x-30=-2\\7x=28\\x=4

System #2: x=1

x+2y=5\\2x+y=4

Isolate your second equation for y.

2x+y=4\\y=-2x+4

Plug this value of y into your first equation.

x+2(-2x+4)=5\\x+(-4x)+8=5\\x-4x+8=5\\-3x=-3\\x=1

System #3: x=6

5x+y=33\\x=18-4y

Isolate your first equation for y.

5x+y=33\\y=-5x+33

Plug this value of y into your second equation.

x=18-4(-5x+33)\\x=18+20x-132\\-19x=-114\\x=6

System #4: all real numbers (not included in your diagram)

y=13-2x\\8x+4y=52

Plug your value of y into your second equation.

8x+4(13-2x)=52\\8x+52-8x=52\\0=0

<em>all real numbers are solutions</em>

System #5: x=2

x+3y=5\\6x-y=11

Isolate your second equation for y.

6x-y=11\\-y=-6x+11\\y=6x-11

Plug in your value of y to your first equation.

x+3(6x-11)=5\\x+18x-33=5\\19x=38\\x=2

System #6: no solution (not included in your diagram)

2x+y=10\\-6x-3y=-2

Isolate your first equation for y.

2x+y=10\\y=-2x+10

Plug your value of y into your second equation.

-6x-3(-2x+10)=-2\\-6x+6x-30=-2\\-30=-2

<em>no solution</em>

System #7: x=3

y=10+x\\2x+3y=45

Plug your value of y into your second equation.

2x+3(10+x)=45\\2x+30+3x=45\\5x=15\\x=3

3 0
3 years ago
There are between 24 and 40 students in a class,
sergeinik [125]

Answer:answer is 387

Step-by-step explanation:ok got it

7 0
3 years ago
Read 2 more answers
Exercise 3.5. For each of the following functions determine the inverse image of T = {x ∈ R : 0 ≤ [x^2 − 25}.
masya89 [10]

a. The inverse image of f(x) is f⁻¹(x) = ∛(x/3)

b. The inverse image of g(x) is g^{-1}(x) = e^{x}

c. The inverse image of <u>h</u>(x) is h⁻¹(x) = x + 9

<h3 /><h3>The domain of T</h3>

Since T = {x ∈ R : 0 ≤ [x^2 − 25} ⇒ x² - 25 ≥ 0

⇒ x² ≥ 25

⇒ x ≥ ±5

⇒ -5 ≤ x ≤ 5.

<h3>Inverse image of f(x)</h3>

The inverse image of f(x) is f⁻¹(x) = ∛(x/3)

f : R → R defined by f(x) = 3x³

Let f(x) = y.

So, y = 3x³

Dividing through by 3, we have

y/3 = x³

Taking cube root of both sides, we have

x = ∛(y/3)

Replacing y with x we have

y = ∛(x/3)

Replacing y with f⁻¹(x), we have

So,  the inverse image of f(x) is f⁻¹(x) = ∛(x/3)

<h3>Inverse image of g(x)</h3>

The inverse image of g(x) is g^{-1}(x) = e^{x}

g : R+ → R defined by g(x) = ln(x).

Let g(x) = y

y =  ln(x)

Taking exponents of both sides, we have

e^{y} = e^{lnx} \\e^{y} = x

Replacing x with y, we have

y = e^{x}

Replacing y with g⁻¹(x), we have

So, the inverse image of g(x) is g^{-1}(x) = e^{x}

<h3>Inverse image of h(x)</h3>

The inverse image of <u>h</u>(x) is h⁻¹(x) = x + 9

h : R → R defined by h(x) = x − 9

Let y = h(x)

y = x - 9

Adding 9 to both sides, we have

y + 9 = x

Replacing x with y, we have

x + 9 = y

Replacing y with h⁻¹(x), we have

So, the inverse image of <u>h</u>(x) is h⁻¹(x) = x + 9

Learn more about inverse image of a function here:

brainly.com/question/9028678

5 0
2 years ago
-2^2-3(-2)+1 evaluate the polynoimal
Phoenix [80]

We must follow order of operations rules (PEMDAS) here: exponentiation first, followed by multiplication and division, followed by addition and subtraction.

Thus, -2^2-3(-2)+1 becomes:

-[4] + 6 + 1 = 2 + 1 = 3 (answer)

4 0
3 years ago
Read 2 more answers
when you reverse the digits in a certain two digit number you increase its value by 9 find the sum of its digits is 17
melamori03 [73]
The answer is 80.
80 flipped is 08, which is equal to 8, then 8+9=17
3 0
3 years ago
Other questions:
  • What is 42/5 as a mixed number
    13·2 answers
  • Sam used his calculator to find cos 1.75. he wrote down cos 1.75 = .999. how could sam recognize that his answer is incorrect?
    11·1 answer
  • How many times is 0.02 contained in 80
    7·1 answer
  • Can someone help me with this
    6·2 answers
  • What is 0.98 0.27 and0.34 from greatest to least
    13·1 answer
  • 5 times the smaller of two numbers is subtracted from twice the larger,the result is 1. If the larger is increased by three time
    8·1 answer
  • How many miles does it travel in 1 hour?
    12·2 answers
  • Use mental math to simplify (3 + 62) +7.
    11·2 answers
  • In a condominium complex, 2/3 of the women are married to 3/4 of the women. What part of the entire population is married? Pleas
    13·1 answer
  • What is the value of x in the diagram below? If necessary, round your answer
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!