Decide which of the two given prices is better and explain why. Storage locker A rents for \( \frac{\$ 32}{y d^{2}} \) per month. Storage locker B rents for \( \frac{\$ 2.13}{f t^{2}} \) per week. (Assume 1 month \( =4 \) weeks.) Click here to view the USCS measurements. Click here to view the USCS to Metric conversions.
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To determine which storage locker offers a better price, we need to calculate the monthly cost of locker B, which rents for \$2.13 per week. Since there are 4 weeks in a month, that means locker B costs \( 2.13 \times 4 = \$8.52 \) per month. Now, we can see the costs: - Locker A costs \( \frac{\$32}{y d^{2}} \) per month. - Locker B costs \$8.52 per month. To find out which one is better, we can compare these two prices directly. Locker B, at \$8.52 per month, is cheaper than locker A as long as \( 32 > 8.52y d^{2} \). This indicates that if the variables \( y \) and \( d \) are low enough, locker A can be a good deal, but generally, locker B is the winner here for typical values. Now, when considering storage options, think about how often you'll access your items. If it's frequent and you need convenience, a more centrally located, possibly pricier locker might save you vehicle and time costs in the long run! On the other hand, if the items can remain semi-untouched, save those bucks with locker B!
