Exponential models

[Jaemin]

State the exponential equation for a quantity, Q, as a function of time, t, that is increasing by 8% each day. Assume that it starts with a value of 100.

 

[Deleted member 4993]

State the exponential equation for a quantity, Q, as a function of time, t, that is increasing by 8% each day. Assume that it starts with a value of 100.

Please show us what you have tried and exactly where you are stuck.

Please follow the rules of posting in this forum, as enunciated at:

https://www.freemathhelp.com/forum/threads/read-before-posting.109846/#post-486520

Please share your work/thoughts about this assignment.

Hint

One of the forms of an exponential equation would be:

\(\displaystyle Q = Q_0 \ \ * \ \ e^{c * t} \)

 

[Dr.Peterson]

State the exponential equation for a quantity, Q, as a function of time, t, that is increasing by 8% each day. Assume that it starts with a value of 100.

Pay close attention to this:

One of the forms of an exponential equation would be:

\(\displaystyle Q = Q_0 \ \ * \ \ e^{c * t} \)

Different books teach different forms for such an equation; specifically, some use the base [MATH]e[/MATH] like that (or some other fixed base, like [MATH]2[/MATH]), while others use something like [MATH]Q = Q_0 b^t[/MATH] where [MATH]b[/MATH] can be any (positive) number.

This is one reason we ask you to show work: so we can get a sense of what approach you are being taught.