Question

Your mathematics teacher asks you to sketch a graph of the exponential function f(x) = (3 / 2)^x for x, a number

between 0 and 40 inclusively, using a scale of 10 units to one inch for both the x- and y-axes.
a. What are the dimensions (in feet) of the roll of paper needed to sketch this graph?

Answer 1

The dimensions of the roll of paper needed to sketch the graph will be 0.332 feet of width and 91776 feet of height.

Explanation:

Please see the picture below.

1. Looking the picture you can see that the roll of paper needed to sketch this graph must have dimensions of :

40 units of width

11057332 units of height

2. Convert the two quantities using the conversion factor given by the problem. It says that 10 units represents 1 inch, so:

- For the width:

`40units*(1inch)/(10units)*(0.083feet)/(1inch)=0.332feet`

- For the height:

`11057332units*(1inch)/(10units)*(0.083feet)/(1inch)=91776feet`