What is the solution to this equation?

24 + 1.25k = 0.75(16 - 5k) -4

Option A.
-3

Option B.
-12.8

Option C.
-3.2

Option D.
-2.56

3 answers

To solve the equation, we can start by simplifying the right side:

0.75(16 - 5k) - 4 = 0.75(16) - 0.75(5k) - 4 = 12 - 3.75k - 4 = 8 - 3.75k

Now we can rewrite the equation as:

24 + 1.25k = 8 - 3.75k

Next, we can combine like terms:

1.25k + 3.75k = 8 - 24
5k = -16

Finally, we can solve for k by dividing both sides of the equation by 5:

k = -16/5 = -3.2

Therefore, the solution to the equation is k = -3.2.

Option C is correct.
A company used the function shown to predict the monthly profit, p(x), in dollars for selling a new bike for x dollars.

What is the monthly profit if the company sells the new bike for $216?

{silence}Option A.{silence}
$2,416

{silence}Option Be.{silence}
$2,304

{silence}Option C.{silence}
$2,496

{silence}Option D.{silence}
$2,408
To determine the monthly profit if the company sells the new bike for $216, we need to substitute this value into the function p(x).

Based on the information given, we don't have access to the actual function p(x) in the question. Therefore, it is not possible to determine the monthly profit with the given options.

The correct answer is "Not enough information given."