Question

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

Answer 1

Answer:

Cyclist A lives farther from the Orchard

Step-by-step explanation:

Given

$A(x) =48.5 -21x$

$B(x) =42 -16.8x$

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 $x = 0$

So:

$A(x) =48.5 -21x$

$A(0) = 48.5-21*0 =48.5-0 =48.5$

$B(x) =42 -16.8x$

$B(0) = 42 - 16.8*0 =42-0 =42$

From the above computation:

$A(0) > B(0) \to 48.5 > 42$

Hence;

Cyclist A lives farther from the Orchard