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
joja [24]
1 year ago
11

Help please:Suppose that x and y inversely, and x=10 when y=8 write the function that models the inverse variation

Mathematics
1 answer:
jarptica [38.1K]1 year ago
7 0

SOLUTION

From the question, we are told that y varies inversely as x

This is mathematically written as

\begin{gathered} y\propto\frac{1}{x} \\ \propto\text{ is a sign of proportionality } \end{gathered}

Now, we will remove the proportionality sign and replace it with equal to sign =

If we do this, we will intoduce a constant k

\begin{gathered} y\propto\frac{1}{x} \\ y=k\times\frac{1}{x} \\ y=\frac{k}{x} \end{gathered}

So we have the formula

y=\frac{k}{x}

We will substitute the values of x for 10 and y for 8 into the formula to get k, we have

\begin{gathered} y=\frac{k}{x} \\ 8=\frac{k}{10} \\ k=8\times10 \\ k=80 \end{gathered}

Now, we will substitute k for 80 back into the formula to get the inverse function, we have

\begin{gathered} y=\frac{k}{x} \\ y=\frac{80}{x} \end{gathered}

Hence the answer is option C

You might be interested in
PLEASE HELP ITS DUE SOON!!!!
Anvisha [2.4K]
Heberto could go 14 blocks East and 14 blocks south, so the last answer
3 0
3 years ago
10^8/10^4 Simplify the expression. Write your answer as a power.
Andru [333]
<h3>Answer:   10^4</h3>

This is an exponential expression with 10 as the base and 4 as the exponent.

=============================================

Explanation:

We're dividing 10^8 over 10^4. When dividing like this, we subtract the exponents (numerator minus denominator). The bases must be the same value and they stay at the same value for the final answer as well.

The new exponent is 8-4 = 4 which is how we arrive at the answer 10^4.

Side note: 10^4 = 10,000 = ten thousand

7 0
3 years ago
Time Sensitive Question
Anika [276]

Answer:

X< 7/12

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
N x 50 = 5,000. Explain your solution
prohojiy [21]
In order to figure out what N is you have to isolate it by dividing by 50 on both sides as shown below:
N*50=5000\\\frac{n*50}{50}=\frac{5000}{50}\\n=100
3 0
3 years ago
In a mapping diagram each _____ corresponds to an ordered pair. A.) input value B.)relation C.)arrow D.)output value
Lilit [14]
The answer is c. relation
5 0
3 years ago
Other questions:
  • Write the equation of a line in point-slope form thatſgoes through the coordinate
    14·1 answer
  • A lizard is 100 feet away from the tree he wanted to climb. At the end of the first minute he has traveled half of the distance
    12·1 answer
  • What substitution should be used to rewrite 4x^4-21x^2+20=0 as a quadratic equation ​
    8·1 answer
  • In a basketball game, Elena scores twice as many points as Tyler. Tyler scores four points fewer thank Noah, and Noah scores thr
    7·1 answer
  • 15) 5,25 , 125 ,625 ,3125<br>Rule =​
    6·1 answer
  • If f(x) = [x] − 5, what is f(8.6)? <br> A. 3 <br> B. 4<br> C. 8 <br> D. 9
    8·2 answers
  • PLEASE HELP on this
    9·1 answer
  • How do you add fractions with unlike denominators?
    13·1 answer
  • Writing Parametric Equations from a Graph
    14·1 answer
  • A bakery sells glazed donuts for $1.09 each. Cinnamon bagels and onion bagels are $1.59 each. Max buys x donuts, y cinnamon bage
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!