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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:

A(x) = -21% + 48. 5

B(x) = -16. 8x + 42

For each question, explain or show your reasoning.

a. Which cyclist lives farther away from the orchard? How do you know?

b. Who will get to the orchard first? Explain your reasoning

Sagot :

Raphealnwobiidn

Cyclist A is further away from the orchard at a distance of 48.5 miles. Cyclist A would reach the orchard first.

What is a linear equation?

A linear equation is in the form:

y = mx + b

Where y,x are variables, m is the rate of change and b is the initial value of y.

Let A and B give their distance from the orchard, in miles, after riding for x hours.

A(x) = -21x + 48.5

B(x) = -16.8x + 42

Cyclist A is further away from the orchard at a distance of 48.5 miles.

To reach the orchard, for cyclist A:

0 = -21x + 48.5

x = 2.3

for cyclist B:

0 = -16.8x + 42

x = 2.5

Cyclist A would reach the orchard first.

Find out more on linear equation at: https://brainly.com/question/14323743

Ematurisidn

Answer:

Cyclist A lives farther. Just like the person above, and yes, Cyclist A reaches the Orchard first. I had the same problem on my homework, and it was right

hope this helps!!

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