Max rides his scooter toward Kim and then passes her at a constant speed. His distance in feet, d, from Kim t seconds after he s

The solutions to the equation are

Explanation:

Given the equation

, we aim to find the solutions of the equation.

Let us use and

Thus, the equation transforms into

Factoring the equation results in:

Inserting back and allows us to solve for x.

Initially, we will substitute

Consequently, we find;

Similarly, by substituting , we derive;

Thus, the solutions to the equation are

Answer:

x = 11.33 years

Step-by-step explanation:

The equation for rainbow smelt is Y1 = −19.76x + 227

For bloater fish, the equation is Y2 = –92.57x + 1052

To find where these populations are equal:

–19.76x + 227 = –92.57x + 1052

Combine like terms:

-19.76x + 92.57x = 1052 - 227

72.81x = 825

Now divide by 72.81:

x = 825 / 72.81

Thus,

x = 11.33 years