Answer:
Let x be the number of albums to be bought and
let y be the number of movies to be bought.
The amount to be spent on albums is 10x and
The amount to be spent on movies is 30y.
As per the given condition: The total amout to be spent must equal $ 150.
then, we have
[tex]10x+30y = 150[/tex] ......[1]
Now, find x-intercepts and y-intercepts of equation [1];
x-intercepts defined as the graph crosses the x-axis.
Substitute y= 0 in [1] to solve for x;
[tex]10x+30(0)=150[/tex]
10x =150
Divide both sides by 10 we get;
[tex]\frac{10x}{10}=\frac{150}{10}[/tex]
Simplify:
x = 15
y-intercepts defined as the graph crosses the y-axis.
Substitute value of x=0 in [1] to solve for y;
10(0)+30y = 150
30y =150
Divide both sides by 30 we get;
y =5
Now, plot these points (0, 5) and (15, 0) on graph and connect them with a line as shown in the figure below;
