Respuesta :

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]

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