Are these ratios equivalent?

Question

$14 every 74 months

$21 every 94 months

Answer 1

To determine if the ratios are equivalent, we can simplify both ratios.

For the first ratio, $14 every 74 months, we can simplify by dividing both numbers by 2:
$7 every 37 months

For the second ratio, $21 every 94 months, we can simplify by dividing both numbers by 3:
$7 every 31 months

Since both ratios simplify to $7 every a certain number of months, they are equivalent ratios.

Answer 2

wrong

Answer 3

My apologies for the mistake. Let's reevaluate the ratios:

First ratio: $14 every 74 months
Second ratio: $21 every 94 months

To determine if these ratios are equivalent, we need to calculate the unit rate for each ratio:

For the first ratio:
$14 / 74 months ≈ $0.189 per month

For the second ratio:
$21 / 94 months ≈ $0.223 per month

Since the unit rates are not equal, the ratios are not equivalent.