Question

*The growth of the size of a wild fire can be estimated by the equation S(t) = 620(1.4), where S(t) represents the size

in acres after t hours. How long will it take for the fire to cover 1000 acres? Round to the nearest hundredth.
It will take
for the fire to cover 1000 acres.
:: 1.42 hours :: 1.15 hours
:: 2.05 hours

Answer 1

To find out how long it will take for the fire to cover 1000 acres, solve the equation S(t) = 620(1.4) for t. The estimated time is approximately 1.42 hours.

Step-by-step explanation:

To find out how long it will take for the fire to cover 1000 acres, we need to solve the equation S(t) = 620(1.4) for t. The equation represents the size of the fire in acres after t hours. So, replacing S(t) with 1000 in the equation, we get 1000 = 620(1.4)t. To solve for t, divide both sides of the equation by 620(1.4). This gives us t = 1000 ÷ 620(1.4), which is approximately equal to 1.42 hours.

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