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Two cyclists , A and B , are going on a bike ride and are meeting at an orchard . They left home at the same time . Functions A and B give their distance from the orchard , in miles , after riding for x hours . The functions are defined by these equations

Sagot :

MrRoyalidn

Answer:

Cyclist A lives farther from the Orchard

Step-by-step explanation:

Given

[tex]A(x) =48.5 -21x[/tex]

[tex]B(x) =42 -16.8x[/tex]

Required:

Who lives farther from the Orchard.

To do this, we simply calculate the y intercept.

This represents the total distance traveled to get to the Orchard

To calculate y intercept, we set [tex]x = 0[/tex]

So:

[tex]A(x) =48.5 -21x[/tex]

[tex]A(0) = 48.5-21*0 =48.5-0 =48.5[/tex]

[tex]B(x) =42 -16.8x[/tex]

[tex]B(0) = 42 - 16.8*0 =42-0 =42[/tex]

From the above computation:

[tex]A(0) > B(0) \to 48.5 > 42[/tex]

Hence;

Cyclist A lives farther from the Orchard

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