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The expression
1.5 t+20 predicts the height, in centimeters, of a plant
t days from today. What is the predicted height, in centimeters, of the plant 5 days from today?

The expression $1.5 t+20$ predicts the height, in centimeters, of a plant $t$ days from today. What is the predicted height, in centimeters, of the plant $5$ days from today?

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Exponential growth and decay: word problems

Full solution

Q. The expression

1.5 t+20

predicts the height, in centimeters, of a plant

t

days from today. What is the predicted height, in centimeters, of the plant

5

days from today?

Identify expression and representation: Identify the given expression and what it represents. $\newline$ The expression given is $1.5t + 20$ , which predicts the height of a plant in centimeters $t$ days from today.
Substitute value of $t$ : Substitute the value of $t$ with $5$ days to find the predicted height $5$ days from today. $\newline$ We calculate the height by plugging $t = 5$ into the expression: $1.5(5) + 20$ .
Perform multiplication: Perform the multiplication part of the expression. $1.5$ multiplied by $5$ equals $7.5$ .
Add result to find total height: Add the result from Step $3$ to $20$ to get the total predicted height. $\newline$ $7.5 + 20$ equals $27.5$ .

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