Determine if 2.25/10=9/40, 2.5/10=?90/40, or 2.25/12=?90/40 is a proportion.(1 point)

Question

Responses

None of these sets of ratios is a proportion.
None of these sets of ratios is a proportion.

2.2512=9040
2.25
12
=
90
40
Start Fraction 2.25 over 12 End Fraction equals Start Fraction 90 over 40 End Fraction

2.510=9040
2.5
10
=
90
40
Start Fraction 2.5 over 10 End Fraction equals Start Fraction 90 over 40 End Fraction

2.2510=940

Answer 1

To determine if the sets of ratios are proportions, we can equate the ratios and check if they are equal.

1. For the ratio \( \frac{2.25}{10} = \frac{9}{40} \):

   First, calculate \( \frac{2.25}{10} \): \[ \frac{2.25}{10} = 0.225 \] Now calculate \( \frac{9}{40} \): \[ \frac{9}{40} = 0.225 \] Since \( 0.225 = 0.225 \), this set of ratios is a proportion.

2. For the ratio \( \frac{2.5}{10} = \frac{90}{40} \):

   First, calculate \( \frac{2.5}{10} \): \[ \frac{2.5}{10} = 0.25 \] Now calculate \( \frac{90}{40} \): \[ \frac{90}{40} = 2.25 \] Since \( 0.25 \neq 2.25 \), this set of ratios is not a proportion.

3. For the ratio \( \frac{2.25}{12} = \frac{90}{40} \):

   First, calculate \( \frac{2.25}{12} \): \[ \frac{2.25}{12} = 0.1875 \] Now calculate \( \frac{90}{40} \) again: \[ \frac{90}{40} = 2.25 \] Since \( 0.1875 \neq 2.25 \), this set of ratios is not a proportion.

Conclusion: Only the first set of ratios \( \frac{2.25}{10} = \frac{9}{40} \) is a proportion. Therefore, the correct answer is:

None of these sets of ratios is a proportion. (is incorrect in terms of the first ratio; it is indeed a proportion)

The correct response would summarize: The first set of ratios \( \frac{2.25}{10} = \frac{9}{40} \) is a proportion. The other two sets are not.