Question

let me help clarify! to graph an exponential function, you need to find points with coordinates (t, p(t)). what two values of t will you choose to find your first two points? think about what value of t makes sense to start with. i need you to choose specific numbers for t. for example, what is the simplest number you could start with? what year would t = 0 represent in this problem? good choice! now calculate p(0) and p(1) using the equation p(t) = 98(1.05)^t. what do you get when you substitute t = 0 into the equation? then do the same for t = 1. ask the ai coach a question

Explanation:

Step1: Calculate \( p(0) \)

Substitute \( t = 0 \) into \( p(t)=98(1.05)^t \). Using the exponent rule \( a^0 = 1 \) (for \( a
eq0 \)), we get \( p(0)=98(1.05)^0 = 98\times1 = 98 \).

Step2: Calculate \( p(1) \)

Substitute \( t = 1 \) into \( p(t)=98(1.05)^t \). Since \( (1.05)^1 = 1.05 \), we have \( p(1)=98\times1.05 = 102.9 \).

Answer:

\( p(0) = 98 \), \( p(1) = 102.9 \)