slope(using intercepts)

posted by .

a bamboo plant is growing 1 foot per day. when you first measure it, it is 4 feet tall.

a. write an equation to describe the height y, in feet, of the bamboo plant x days after you measure it.
would it be: x+y=4?

b. what is the y intercept?

  • slope(using intercepts) -

    would it be: x+y=4?

    This is clearly this not correct if you put numbers into the equation. If y is the height after 10 days then the height is the plant is

    10+y=4

    so y=-6 or 6ft below ground!

    The correct equation is

    y=4+x

    where both y and x are in feet. This agrees with the description as at time zero, x=0, the y=4 i.e 4ft. After 10 days the plant will be
    y=4+10 = 14 or 14 ft tall. Which is a sensible value.

    If we compare the equation with the general equation for a straight line which is

    y=mx+c

    where
    m=gradient and
    c=the y intercept

    we see that m=1 and
    c=4 (or the line passes through (0,4)

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math

    The bamboo plant is one of the fastest growing plants in the world. One bamboo plant grew 36 inches in 24 hours If the plznt grew 16 inches tall at 8:00 am how tall was the bamboo plant at 4:00pm?
  2. English

    A couple more questions on Transitive and Intransitive verbs. 1. Zoo keepers harvest bamboo for pandas. 2. Asian farmers live in bamboo houses. 3. Their sandals are made from bamboo strips. 4. People sometimes sleep on bamboo mats. …
  3. English

    Thank you. I really need you to check this paragraph I prepared for a listening. 1) Bamboo fibre has a round surface which makes it soft and smooth. In contrast, petrol-based synthetic fibres cause skin irritation and in some cases …
  4. English

    Thank you for helping me. I left out the following sentences. 1) Bamboo is the fastest growing plant in the world for its natural ability to absorb water. 2) Furthermore, it thrives naturally without the use of fertilizers or pesticides. …
  5. math

    If I plant a 7 foot tall tree. The height (h) of the tree, in feet, after n years is given by the equation h + 4n + 7. In how many years will the height be 39 feet?
  6. Math

    A bamboo plant grew 3 feet and 6 inches in 3 days. If the plant grew the same amount each day. how many inches did plant grow each?
  7. math

    a bean plant grows 15% of its height each day, after 10 days the bean plant is 27 inches tall. how tall was it yesterday?
  8. Math

    The following points show how many centimeters a bamboo plant can grow (g) and the hours (h) that the plant has been growing. What is k?
  9. Algebra

    Lynn is tracking the progress of her plant’s growth. Today the plant is 5cm high. The plant grows 1.5 cm each day. Find the height of the plant after 20 days.
  10. Math

    1. To find the height of a pole, a surveyor moves 120 feet away from the base of the pole and then, with a transit 8 feet tall, measure the angle of elevation to the top of the pole to be 36*. to the nearest foot, what is the height …

More Similar Questions