Exponential Function Growth (Continuous) - Term to Meaning

Level 1

The math topic focuses on understanding terms within the equation for continuous exponential growth across various contexts (e.g., social media post views, share prices, insect populations, app downloads, and money in savings accounts). It emphasizes identifying specific parameters such as the rate of growth, initial value, and time within the exponential growth formula. Each question asks to interpret a component of the formula, enhancing comprehension of continuous growth models.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Exponential Function Growth (Continuous) - Term to Meaning Worksheet

Exponential Function Growth (Continuous) - Term to Meaning

What does this term represent in a model of continuous exponential growth of social media post views?

$A LaTex expression showing V =V sub 0 times e to the power of (r times t) \\r = ?$

a $A LaTex expression showing r = \text{rate}$

b $A LaTex expression showing r = \text{starting views}$

c $A LaTex expression showing r = \text{time}$

What does this term represent in a model of continuously compounding growth of a share price?

$A LaTex expression showing S =S sub 0 times e to the power of (r times t) \\r = ?$

a $A LaTex expression showing r = \text{rate}$

b $A LaTex expression showing r = \text{starting price}$

c $A LaTex expression showing r = \text{time}$

What does this term represent in a model of continuously compounding growth of a share price?

$A LaTex expression showing S =S sub 0 times e to the power of (r times t) \\t = ?$

a $A LaTex expression showing t = \text{time}$

b $A LaTex expression showing t = \text{starting price}$

c $A LaTex expression showing t = \text{final price}$

d $A LaTex expression showing t = \text{rate}$

$A LaTex expression showing P =P sub 0 times e to the power of (r times t) \\P sub 0 = ?$

What does this term represent in a model of continuous growth of an insect population?

a $A LaTex expression showing P sub 0 = \text{starting population}$

b $A LaTex expression showing P sub 0 = \text{rate}$

What does this term represent in a model of continuously compounding growth of app downloads?

$A LaTex expression showing A =A sub 0 times e to the power of (r times t) \\r = ?$

a $A LaTex expression showing r = \text{starting downloads}$

b $A LaTex expression showing r = \text{rate}$

c $A LaTex expression showing r = \text{time}$

What does this term represent in a model of continuous growth of an insect population?

$A LaTex expression showing P =P sub 0 times e to the power of (r times t) \\r = ?$

a $A LaTex expression showing r = \text{rate}$

b $A LaTex expression showing r = \text{time}$

c $A LaTex expression showing r = \text{starting population}$

d $A LaTex expression showing r = \text{final population}$

$A LaTex expression showing P =P sub 0 times e to the power of (r times t) \\t = ?$

What does this term represent in a model of continuously compounding growth of money in a savings account?

a $A LaTex expression showing t = \text{time}$

b $A LaTex expression showing t = \text{final cash}$

$A LaTex expression showing V =V sub 0 times e to the power of (r times t) \\V sub 0 = ?$

What does this term represent in a model of continuous exponential growth of social media post views?

a $A LaTex expression showing V sub 0 = \text{starting views}$

b $A LaTex expression showing V sub 0 = \text{final views}$