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Liam began contributing at the start of the year and had contributed 180 dollars by the end of the first year. He continued to contribute and by the end of the second year had donated a total of 450 dollars. Which of the following is closest to the percent increase in the amount Liam contributed during the second year compared to the amount he contributed during the first year?

Explanation	Calculations	Help
$We first create variables for the amounts contributed in each year.$	$F = amount contributed during the first year S = amount contributed during the second year$	Theory & Tactics Method Card TRANS1-A Click to view full details
$We translate "had contributed 180 dollars by the end of the first year" into an equality.$	$F = 180$	Theory & Tactics Method Card TRANS1-B Click to view full details
$We translate "by the end of the second year had donated a total of 450 dollars" into a sum.$	$F + S = 450$	Theory & Tactics Method Card TRANS1-C Click to view full details
$We solve for the second-year contribution.$	$S = 450 - F$
$We substitute the first-year amount into the expression for the second-year contribution.$	$S = 450 - 180$
$We find the value of the second-year contribution.$	$S = 270$
$We calculate the percent increase by finding the difference between the second- and first-year contributions divided by the first-year contribution.$	$\frac{S - F}{F} = \frac{270 - 180}{180} = \frac{90}{180} = \frac{1}{2}$	Theory & Tactics Method Card TRANS2-A Click to view full details
$We convert the fraction to a percentage.$	$\frac{1}{2} \times 100% = 50%$

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C

Liam began contributing at the start of the year and had contributed 180 dollars by the end of the first year. He continued to contribute and by the end of the second year had donated a total of 450 dollars. Which of the following is closest to the percent increase in the amount Liam contributed during the second year compared to the amount he contributed during the first year?

Explanation	Calculations	Help
$We first create variables for the amounts contributed in each year.$	$F = amount contributed during the first year S = amount contributed during the second year$	Theory & Tactics Method Card TRANS1-A Click to view full details
$We translate "had contributed 180 dollars by the end of the first year" into an equality.$	$F = 180$	Theory & Tactics Method Card TRANS1-B Click to view full details
$We translate "by the end of the second year had donated a total of 450 dollars" into a sum.$	$F + S = 450$	Theory & Tactics Method Card TRANS1-C Click to view full details
$We solve for the second-year contribution.$	$S = 450 - F$
$We substitute the first-year amount into the expression for the second-year contribution.$	$S = 450 - 180$
$We find the value of the second-year contribution.$	$S = 270$
$We calculate the percent increase by finding the difference between the second- and first-year contributions divided by the first-year contribution.$	$\frac{S - F}{F} = \frac{270 - 180}{180} = \frac{90}{180} = \frac{1}{2}$	Theory & Tactics Method Card TRANS2-A Click to view full details
$We convert the fraction to a percentage.$	$\frac{1}{2} \times 100% = 50%$

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C