14. $$ \frac{\$ 575}{1 ext { day }}=\frac{x ext { dollars }}{1 \mathrm{~min}} $$

Question

14. $$ \frac{\$ 575}{1 	ext { day }}=\frac{x 	ext { dollars }}{1 \mathrm{~min}} $$

UpStudy AI · Accepted Answer

1. Write the conversion equation:

$$
\frac{\$575}{1 \text{ day}} = \frac{x \text{ dollars}}{1 \text{ min}}
$$

2. We know that $$1 \text{ day} = 1440 \text{ minutes}$$. So we can write:

$$
x = \frac{575 \text{ dollars}}{1440 \text{ minutes}}
$$

3. Simplify the fraction by dividing the numerator and the denominator by 5:

$$
\frac{575}{1440} = \frac{575 \div 5}{1440 \div 5} = \frac{115}{288}
$$

Thus,

$$
x = \frac{115}{288} \text{ dollars per minute}
$$

4. To find the decimal approximation, divide:

$$
x \approx \frac{115}{288} \approx 0.3993 \text{ dollars per minute}
$$

The final answer is:

$$
x = \frac{115}{288} \approx 0.3993 \text{ dollars per minute}
$$
$$ x = \frac{115}{288} $$ dollars per minute, which is approximately \$0.3993 per minute.

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