Final answer:
Upon evaluating the expression with r = 5 and rounding to whole numbers, the result is 236, which is closest to option c.
Step-by-step explanation:
To evaluate the expression (25 - 4r^(-1) + 222 - 10) when r equals 5, we first substitute the value of r into the expression:
25 - 4(5)^(-1) + 222 - 10
Perform the exponent operation next:
25 - 4(1/5) + 222 - 10
Multiply the fraction:
25 - 0.8 + 222 - 10
Combine the like terms:
25 - 0.8 + 222 = 246.2
Subtract 10 from the sum:
246.2 - 10 = 236.2
However, since we're not provided with options that include decimal values, we consider that the expression may have been intended to use whole number arithmetic. If we take 4r^(-1) as representing whole numbers only (essentially rounding 4/5), the value is 4. Approximating as whole numbers:
25 - 4 + 222 - 10 = 233
Therefore, the closest answer to the provided options would be 236 (option c).