Question

jason collects baseball cards. he bought one card for $25. its current value is represented by the expression $25(1.02)^t$, where $t$ is the number of years jason has owned the card. is jason’s baseball card going up or down in value?

Explanation:

Step1: Identify growth/decay form

The expression follows $A(1+r)^t$, where $A$ = initial value, $r$ = rate, $t$ = time.

Step2: Analyze the growth factor

The base of the exponent is $1.02$. Since $1.02 > 1$, this represents growth.

Step3: Confirm value trend

A growth factor greater than 1 means the value increases as $t$ (years) increases.

Answer:

up