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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 of the plant 5 days from today?

cm

The expression $1.5 t+20$ predicts the height in centimeters of a plant $t$ days from today. $\newline$ What is the predicted height of the plant $5$ days from today? $\newline$ $\mathrm{cm}$

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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.

\newline

What is the predicted height of the plant

5

days from today?

\newline

\mathrm{cm}

Identify Variables: Identify the variables in the expression. $\newline$ The expression given is $1.5t + 20$ , where $t$ represents the number of days from today, and the whole expression predicts the height of the plant in centimeters.
Substitute Value: Substitute the value of $t$ with $5$ days. $\newline$ To find the predicted height of the plant $5$ days from today, we substitute $t$ with $5$ in the expression $1.5t + 20$ . $\newline$ So, the expression becomes $1.5(5) + 20$ .
Perform Multiplication: Perform the multiplication. $\newline$ Now we calculate $1.5 \times 5$ , which is $7.5$ . $\newline$ So, the expression now is $7.5 + 20$ .
Add Results: Add the results to find the total height. $\newline$ We add $7.5$ to $20$ to get the predicted height of the plant. $\newline$ $7.5 + 20$ equals $27.5$ .

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