Final answer:
Elise's number is found by solving the equation -7(x - 18) = -112. The solution to the equation is x = 34, so Elise's number is 34. The correct answer is D. 24.
Step-by-step explanation:
To find Elise's number, let's set up an equation. Let's represent Elise's number as 'x'. According to the information given, if we subtract 18 from 'x' and multiply the difference by -7, the result is -112. So, the equation is -7(x - 18) = -112.
To solve this equation, we can start by distributing the -7 to the terms inside the parentheses. This gives us -7x + 126 = -112.
Next, let's isolate the variable 'x' by subtracting 126 from both sides of the equation. This simplifies to -7x = -238.
Finally, we can solve for 'x' by dividing both sides of the equation by -7. This gives us x = 34.
Therefore, Elise's number is 34. So the correct answer is D. 24.