Final answer:
Cassie buys batteries at a rate of $0.42 per battery, determined by dividing the total cost by the number of batteries and rounding to the nearest cent.
Step-by-step explanation:
To find the rate at which Cassie buys batteries, we need to divide the total cost by the number of batteries. So we take the $15 she spent on batteries and divide by the 36 batteries she received
$15 ÷ 36 = $0.4166…
We then round this to the nearest cent to find the rate per battery. When we do this, it rounds to $0.42, since the digit after the hundredth place (6) is 5 or more, which means we round up. Thus, the rate of the batteries in its simplest form is $0.42 per battery.