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

Answer 1

it is 12 weeks

Answer 2

To set up the equation that represents Michele's savings plan, we can start by determining how much she needs to save to reach her goal.

1. Michele has $50 currently.
2. She wants to have a total of $230.
3. This means she needs to save \( 230 - 50 = 180 \) dollars.

She plans to save $15 per week. To express this in a linear equation, let \( x \) be the number of weeks she saves, and \( y \) be the total amount she has after saving.

The equation for how much she will have after saving for \( x \) weeks is:
\[
y = 50 + 15x
\]

Now we can set this equation equal to 230 to find out when she reaches her goal:
\[
50 + 15x = 230
\]

This matches the format of a linear equation, though none of the provided options directly match this. However, let's examine the options you provided:

1. **y = 50x + 15** - This equation does not fit the scenario.
2. **15x + 50y = 230** - This does not align with our savings scenario.
3. **y - 110 = 15(x - 4)** - This one can be expanded but doesn’t clearly represent Michele’s situation.
4. **y = -15x + 50** - This equation suggests a negative relationship, which does not apply here.

None of the choices seem to perfectly describe Michele's savings situation. A more accurate representation based on our analysis is:
\[
y = 50 + 15x
\]
which we derived earlier. It appears there may be an oversight or a mistake in the options provided.