To see a table instead of a graph, push 2nd before you push GRAPH.
After 10 clicks
Practice makes perfect
We know that the function f(n) represents the side length of a map.
f(n)= 5(2)^(n-1)
We will use this function to find the value of n for which f(n)= 2560. Hence, we have the following equation.
5(2)^(n-1)= 2560
We will solve this equation using the table features in a graphing calculator. We first have to rewrite the equation as two functions. One function will be the equation's left-hand side, and one will be the right-hand side. We also need to replace n with x.
5(2)^(n-1)=2560 ⇒ ly=5(2)^(x-1) y=2560
To enter the equations on the calculator, push the button Y= and write them in the two first rows.
By pushing 2nd and then GRAPH, we get a table of values for the whole number values of x. We want to find the x-value that makes the Y_1-column equal to the Y_2-column. We know that when x=8, the value of the function is 640. For this reason, we will start the table from x=8.
From the table, we see that when x=10 both functions equal 2560. After 10 clicks on the zoom-out button the side length of the map is 2560 miles.
