Brendon is walking home from a place that is 1.5 miles away. The function y = 7,920 - 270x represents Brendon's distance in feet from home, y, in relation to the number of minutes he walks, x. Bryan is also walking home. Every 15 minutes, he writes down the number of feet left to reach home, as shown in the table.

Minutes Feet

0 8,000

15 3,800

Which statements about this situation are true?

a. Brendon walks faster.

b. Bryan walks faster.

c. Brendon and Bryan walk at the same speed.

d. Brendon was farther away from home when he started walking.

e. Bryan was farther away from home when he started walking.

f. Brendon and Bryan were an equal distance from home when they started walking.

Question

Mathematics

Dominik Stone

12 February, 21:39

Brendon is walking home from a place that is 1.5 miles away. The function y = 7,920 - 270x represents Brendon's distance in feet from home, y, in relation to the number of minutes he walks, x. Bryan is also walking home. Every 15 minutes, he writes down the number of feet left to reach home, as shown in the table.

Minutes Feet

0 8,000

15 3,800

Which statements about this situation are true?

a. Brendon walks faster.

b. Bryan walks faster.

c. Brendon and Bryan walk at the same speed.

d. Brendon was farther away from home when he started walking.

e. Bryan was farther away from home when he started walking.

f. Brendon and Bryan were an equal distance from home when they started walking.

+3

Answers (1)

Know the Answer?

Pig · Answer 1

For Brendon we have:

y = 7,920 - 270x

For Bryan we have:

y = mx + b

Where,

b = 8000

m = (y2-y1) / (x2-x1)

m = (3800-8000) / (15-0)

m = - 280

Substituting values:

y = - 280x + 8000

Answer:

the statements about this situation that are true are:

b. Bryan walks faster.

e. Bryan was farther away from home when I started walking.