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.

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rynL rynL · Answer 1 · 2017-09-14T04:54:48+02:00

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

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FelisFelis FelisFelis · Answer 2 · 2019-09-10T13:54:26+02:00

Answer:

The required graph is shown in figure 1.

Step-by-step explanation:

Consider the provided equation.

[tex]f(x) = 40-1.25x[/tex]

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.

[tex]f(x) = 40-1.25x[/tex]

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

[tex]f(x) = 40-1.25(0)[/tex]

[tex]f(x) = 40[/tex]

Thus, the coordinate is (0,40).

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

[tex]0= 40-1.25x[/tex]

[tex]1.25x=40[/tex]

[tex]x=\frac{40}{1.25}[/tex]

[tex]x=32[/tex]

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.