Paul Revere had to travel 3.5 miles to Boston from Charlestown by boat. From Charlestown to Lexington he was able to ride a horse that traveled at a rate of 1/8 mile per minute. His total distance traveled y is the sum of the distance to Charlestown and the distance from Charlestown to Lexington. Write a linear equation that could be used to find the distance y Paul Revere traveled in x minutes

y = 3.5 + (1/8)x

Step-by-step explanation:

Speed is the ratio of total distance traveled to the total time taken. It is given by the formula:

Speed = distance / time.

The distance Paul Revere traveled from Charlestown to Boston is 3.5 miles.

Paul Revere also traveled from Boston to Lexington by horse at a rate of 1/8 mile per minute. If he traveled for x minutes, the distance covered can be gotten by:

Speed = distance / time

1/8 = distance / x

distance = (1/8)x miles.

y = sum of the distance to Charlestown and the distance from Charlestown to Lexington

y = 3.5 + (1/8)x

  3.62 units

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relation between the side adjacent to the angle and the hypotenuse:

  Cos = Adjacent/Hypotenuse

  cos(34°) = AB/AC

  AC = AB/cos(34°) = 3/cos(34°) ≈ 3.619 ≈ 3.62 . . . units

For right triangle ABC with A an angle of 34°, AB of length 3, and AC the hypotenuse.