Question

"The variable a is proportional to √b . If a=41 when b=441 ,

what is a when b=100 ? Round your answer to two decimal places if
necessary."

Answer 1

To solve the problem, set up a proportion using the given information. Solve for the constant of proportionality. Use the proportion to find the value of a when b = 100.

Step-by-step explanation:

To solve this problem, we can set up a proportion using the given information. Since a is proportional to √b, we can write the proportion as a/√b = k, where k is the constant of proportionality.

Using the values provided, we have 41/√441 = k. Solving for k, we find that k = 41/21.

Now, we can use the proportion a/√b = k to find the value of a when b = 100. Substituting the values, we have a/√100 = 41/21.

Simplifying, we find a/10 = 41/21. Multiplying both sides by 10, we get a = 410/21.