Y varies inversely as a and y = 7 when 2 y when 2 = 2. Write the equation using the given information, the use the equation to solve for y. Use the forward slash (i.e. "/&q…

Question

Y varies inversely as a and y = 7 when 2

y when 2 = 2. Write the equation using the given information, the
use the equation to solve for y. Use the forward slash (i.e. "/")for fractions (e.g. -1/2 is the same as -=).

Answer 1

Answer: The statement "y varies inversely as a" can be represented mathematically as:

y = k/a

where k is the constant of variation.

Now, we are given that y = 7 when a = 2. We can use this information to find the value of k:

7 = k/2

To solve for k, multiply both sides by 2:

k = 7 * 2

k = 14

Now, we have the value of k, which is 14. So, the equation representing the inverse variation is:

y = 14/a

Next, we are asked to find the value of y when a = 2. Substitute a = 2 into the equation:

y = 14/2

y = 7

Therefore, when a = 2, y = 7.: