Question

Michele has $50. She plans to save $15 per week until she has a total of $230.
Which equation matches this scenario?

y = 50x + 15
y = -15x + 50
y - 110 = 15 (x - 4)
15x + 50y = 230

CHOOSE ONE OF THE ANSWERS

Answer 1

To model Michele's savings scenario, we can define the variables:

- Let \( x \) be the number of weeks.
- Let \( y \) be the total amount of money Michele has after saving for \( x \) weeks.

Initially, Michele has $50, and she saves $15 each week. After \( x \) weeks, the total amount of money she has can be expressed by the equation:

\[ y = 50 + 15x \]

This represents starting with $50 and adding $15 for each week saved.

Now let’s review the provided options to find a match.

1. \( y = 50x + 15 \) - This equation does not match Michele's scenario.
2. \( y = -15x + 50 \) - This does not match the saving scenario either.
3. \( y - 110 = 15 (x - 4) \) - This can be rearranged but does not directly represent Michele's plan as described.
4. \( 15x + 50y = 230 \) - This rearranges to \( y = \frac{230 - 15x}{50} \), which does not correctly model the relationship given.

Reviewing the response options, none of the equations correctly represent the savings scenario described. However, if we were to select the closest or the one that could be rearranged to potentially represent the scenario accurately, we would conclude that none adequately fits.

Thus, the accurate equation representing Michele's situation would be:

\[ y = 50 + 15x \]

If only one accurate answer choice must be selected from the provided options, unfortunately, none of them satisfy the scenario.