Answer:
[tex]x = 20[/tex] --- x intercept
[tex]y = 24[/tex] --- y intercept
Step-by-step explanation:
Given
[tex]y = -1.2x + 24[/tex]
[tex]Amount = \$120[/tex]
Required
Determine the intercepts
To find the x intercept;
Set [tex]y = 0[/tex]
This gives:
[tex]0 = -1.2x + 24[/tex]
Collect Like Terms
[tex]1.2x = 24[/tex]
Make x the subject
[tex]x = \frac{24}{1.2}[/tex]
[tex]x = 20[/tex]
To find the y intercept;
Set [tex]x= 0[/tex]
This gives:
[tex]y = -1.2 * 0 + 24[/tex]
[tex]y = 0 + 24[/tex]
[tex]y = 24[/tex]
