Answer:
(c) $146.59 ≤ m ≤ $293.17
Step-by-step explanation:
You want the range of values that represents 10% to 20% of $1,465.87.
Ten percent
Ten percent is 10% = 10/100 = 1/10. This fraction of a decimal number is easily calculated by moving the decimal point to the left one place (dividing the number by 10).
10% · $1465.87 = $146.587
This rounds to $146.59.
At this point, you know enough to choose the correct answer to the question. The only answer choice with a lower limit of $146.59 is ...
$146.59 ≤ m ≤ $293.17
Twenty percent
Of course 20 is 2 times 10, so 20% = 2×10%, and ...
20% · 1465.87 = 2(10% · 1465.87)
= 2(146.587) = 293.174 ≈ 293.17
This confirms the upper end of the range of the budget for food.
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Additional comment
You may have noticed that the upper limit is not double the lower limit. (2×146.59 = 293.18 ≠ 293.17) This is because we don't want to use rounded values in the calculation. Rather, we want to save rounding until the last step after all calculations are made.
