Final answer:
Option (c), 5 quarters, accurately models the addition of 0.05 and 0.06 as it equals 5/4.
Step-by-step explanation:
The question is asking which coins accurately model the addition of 0.05 and 0.06. To determine this, we can first convert both numbers to fractions. 0.05 is equivalent to 1/20 and 0.06 is equivalent to 3/50. Now, let's look at the options:
a) 5 nickels = 5 * 0.05 = 0.25 = 1/4
b) 5 dimes = 5 * 0.10 = 0.50 = 1/2
c) 5 quarters = 5 * 0.25 = 1.25 = 5/4
d) 5 half-dollars = 5 * 0.50 = 2.50 = 5/2
From the calculations, we can see that option (c), 5 quarters, accurately models the addition of 0.05 and 0.06 as it equals 5/4, which is the sum of 1/20 and 3/50.