Suppose f varies inversely with g and that f = 28 when g = 2. What is the value of f when g = 7?
f=

Make up the proportion

P.S. Hello from Russia

Step-by-step explanation:

If two variables are inversely proportional, it means that an increase in the value of one variable would cause a corresponding decrease in the other variable. Also, a decrease in the value of one variable would cause a corresponding increase in the other variable.

Given that f varies inversely with g, if we introduce a constant of proportionality, k, the expression becomes

f = k/g

If f = 28 when g = 2, then

28 = k/2

k = 2 × 28 = 56

Therefore, the inverse variation equation is

f = 56/g

When g = 7, then

f = 56/7

f = 8

26

step-by-step explanation:

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b