If 2 buses are needed to transport 75 students to the aquarium and 8 buses can transport 300 students to the aquarium, which proportion describes the relationship between the number of buses and the number of students? (Do not reduce the ratios to their lowest terms.)(1 point)

Responses

275 ≠ 8300
Start Fraction 2 over 75 End Fraction is not equal to Start Fraction 8 over 300 End Fraction

275 = 8300
Start Fraction 2 over 75 End Fraction equals Start Fraction 8 over 300 End Fraction

752 = 8300
Start Fraction 75 over 2 End Fraction equals Start Fraction 8 over 300 End Fraction

275 = 3008
Start Fraction 2 over 75 End Fraction equals Start Fraction 300 over 8 End Fraction

1 answer

To describe the relationship between the number of buses and the number of students, let's analyze the ratios provided in the options.

  1. For 2 buses transporting 75 students, the ratio is: \(\frac{2}{75}\)

  2. For 8 buses transporting 300 students, the ratio is: \(\frac{8}{300}\)

Now we need to check if these two ratios are equal or not.

Starting from the options, let's consider the appropriate relations:

  • \( \frac{2}{75} \neq \frac{8}{300} \) since if you simplify both ratios:

    • \(\frac{8}{300} = \frac{2}{75}\) (upon dividing the numerator and denominator of 8/300 by 4). This means they are equal.
  • The correct response that describes the relationship is: \[ \frac{2}{75} \text{ equals } \frac{8}{300} \]

So, the correct response is:

275 = 8300 Start Fraction 2 over 75 End Fraction equals Start Fraction 8 over 300 End Fraction.