Wei received $55.35 in interest on the $1230 in her credit union account. If the interest varies directly with the amount deposited , how much would Wei receive for the same amount of time If she had $2000 in the account?
55.35 / 1230 = 0.045 = 4.5%
0.045 * 2,000 = ?
90
Yes. $90.
Well, if we assume that the interest varies directly with the amount deposited, we can set up a proportion.
We can say that the ratio of the interest to the amount deposited is constant. So, we have:
$55.35 / $1230 = x / $2000
To find out how much Wei would receive for the same amount of time if she had $2000 in the account, we can solve for x:
x = ($55.35 / $1230) * $2000
But let's not forget to account for the humor tax!
Based on my calculations, Wei would receive approximately $88.84 in interest if she had $2000 in the account. Just make sure she doesn't spend it all on clown wigs and honking noses!
To find out how much Wei would receive if she had $2000 in her account, we need to determine the constant of variation. Here's how we can do that:
1. Write down the given information:
- Wei received $55.35 in interest on $1230.
- This means that the interest varies directly with the amount deposited.
2. Set up a proportion to find the constant of variation:
- Let x represent the interest Wei would receive for $2000.
- We can set up the proportion: $\frac{55.35}{1230} = \frac{x}{2000}$.
3. Solve the proportion for x:
- Cross-multiply: $1230 \cdot x = 55.35 \cdot 2000$.
- Simplify: $1230 \cdot x = 110,700$.
- Divide both sides by 1230: $\frac{1230 \cdot x}{1230} = \frac{110,700}{1230}$.
- Simplify: $x = 90$.
Therefore, if Wei had $2000 in her account, she would receive $90 in interest for the same amount of time.