 # Consider the following case of exponential growth. Complete parts a through c below. The population of a town with an initial population of 75,000 gro Chaya Galloway 2021-02-24 Answered

Consider the following case of exponential growth. Complete parts a through c below.
The population of a town with an initial population of 75,000 grows at a rate of 5.5​% per year.
a. Create an exponential function of the form
$Q={Q}_{0}×\left(1+r\right)t$​, ​(where r>0 for growth and r<0 for​ decay) to model the situation described

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The population of a town with an initial population of 75,000 grows at a rate of 5.5​% per year. That is,
${Q}_{0}=75,000$ & r=5.5%=0.055
Therefore exponential function is,
$Q={Q}_{0}\left(1+r{\right)}^{t}$
$⇒Q=75,000\left(1+0.055{\right)}^{t}$
$⇒Q=75,000\left(1.055{\right)}^{t}$