It has been observed that a particular plant's growth is directly proportional to time. It measured 2 cm when it arrived at the nursery and grows at a rate of .5 cm per week this is represented with the function g(x)= 2+ .5x where x represents the amount of weeks passed. How tall is the plant after 5 weeks?
They already did all the work for you by giving you the equation,
all you have to do it replace the x with 5
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To find the height of the plant after 5 weeks, we need to substitute the value of x, which represents the number of weeks passed, into the function g(x) = 2 + 0.5x.
Let's calculate it step by step:
1. Substitute x = 5 into the function:
g(5) = 2 + 0.5 * 5
2. Simplify the expression inside the parentheses:
g(5) = 2 + 2.5
3. Add the numbers:
g(5) = 4.5
Therefore, the plant's height after 5 weeks is 4.5 cm.