Question

Page 7 WORKKEYS MATH PRACTICE TEST 18. You work in a lab testing fertilizer treatments by measuring the growth of tomato plants. The la measured total height of the 48 plants you are currently measuring is 249 inches. Vou are now measuring each plant and they have, on average, grown to 8 inches. What is the percentage of grow for the entire group of plants? A. 37.5% B. 40% C. 60% . 62.5% 100%

Answer 1

The percentage growth for the entire group of plants is 60%

Using the parameters given for our Calculation;

• Number of plants = 48
• Total initial height = 240 inches
• current average height per plant = 8 inches

The total current height of all 48 plants is :

• 48 × 8 = 384 inches

Difference in Total height:

• Current height- Initial height

384 - 240 = 144 inches

The percentage difference in height can be calculated thus:

(144 / 240) × 100% = 60%

The percentage growth for the entire group of plants is 60%

Answer 2

Given:

Number of tomato plants = 48

Last measured height of all plants = 240 inches

Current average height per plant = 8 inches

Solution

The total height of all plants currently:

`\begin{gathered} =\text{ 48 }*\text{ 8 } \\ =\text{ 384 inches} \end{gathered}`

The difference between the current total height and previous height:

`\begin{gathered} =\text{ 384 - 240 } \\ =\text{ 144} \end{gathered}`

Percentage of growth for the entire group of plants can be calculated using the formula:

`=\text{ }\frac{Current\text{ - Previous }}{\text{Previous}}\text{ }*\text{ 100\%}`

Substituting and simplifying we have:

`\begin{gathered} \text{Percentage of growth = }\frac{Difference}{Previous\text{ }}\text{ }*\text{ 100\%} \\ =\text{ }(144)/(240)\text{ }*\text{ 100\%} \\ =\text{ 60\%} \end{gathered}`

Answer: Option C