Question

A factory purchased a 3D printer in 2010. The value of the printer is modeled by the function f(x)= 30(0.93)x, where x is the number of years since 2010. What is the value of the printer after 10 years

Answer 1

We have been given that a factory purchased a 3D printer in 2010. The value of the printer is modeled by the function $f(x)= 30(0.93)^x$, where x is the number of years since 2010. We are asked to find the value of printer after 10 years.

To find the value of printer after 10 years, we will substitute $x=10$ in our given equation.

$f(10)= 30(0.93)^{10}$

$f(10)= 30(0.4839823071792932)$

$f(10)= 14.51946921$

Upon rounding to nearest hundredth, we will get:

$f(10)\approx 14.52$

Therefore, the value of the printer after 10 years would be approximately 14.52.