Question

Aisha just received a $40 paycheck from her new job. She spends some of it buying music online and saves the rest in a bank account. Her savings is given by f(x) = 40 ­ 1.25x, where x is the number of songs she downloads at $1.25 per song. a. Graph the function.

Answer 1

Along the x-axis is the number of songs purchased. Along the y-axis is the amount of money left.

Answer 2

The required graph is shown in figure 1.

Explanation:

Consider the provided equation.

`f(x) = 40-1.25x`

We need to draw the graph of the equation.

The provided equation is a linear equation as the maximum power of x is 1.

The graph of a linear equation is a straight line.

We just need to find any 2 points which satisfy the equation of line and with the help of these 2 points we can draw the graph of equation.

`f(x) = 40-1.25x`

Substitute the value of x=0 in the above equation.

`f(x) = 40-1.25(0)`

`f(x) = 40`

Thus, the coordinate is (0,40).

Now find another point by substituting f(x)=0 in the provided equation.

`0= 40-1.25x`

`1.25x=40`

`x=(40)/(1.25)`

`x=32`

Thus, the coordinate is (32,0).

Now, plot the points (0,40) and (32,0) and join them.

The required graph is shown in figure 1.