1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
d1i1m1o1n [39]
1 year ago
9

A biologist has been observing a tree's height. This type of tree typically grows by 0.22 feet each month. Fifteen months into t

he observation, the tree was 20.5 feet tall. Let x be the number of months passed since the observations started, and let y be the tree's height at that time, in feet. Use a linear equation to model the tree's height as the number of months pass. A) This line's slope-intercept equation is: B) 29 months after the observations started, the tree would be [ ] feet in height. С) months after the observation started, the tree would be 29.96 feet tall.
Mathematics
1 answer:
Lyrx [107]1 year ago
3 0

Data:

x: number of months

y: tree's height

Tipical grow: 0.22

Fifteen months into the observation, the tree was 20.5 feet tall: x=15 y=20.5ft (15,20.5)

In this case the slope (m) or rate of change is the tipical grow.

m=0.22

To find the line's slope-intercep equation you use the slope (m) and the given values of x and y (15 , 20.5) in the next formula to find the y-intercept (b):

\begin{gathered} y=mx+b \\ 20.5=0.22(15)+b \\ 20.5=3.3+b \\ 20.5-3.3=b \\ 17.2=b \end{gathered}

Use the slope(m) and y-intercept (b) to write the equation:

\begin{gathered} y=mx+b \\  \\ y=0.22x+17.2 \end{gathered}A) This line's slope-intercept equation is: y=0.22x+17.2

B) To find the height of the tree after 29 months you substitute in the equation the x for 29 and evaluate to find the y:

\begin{gathered} y=0.22(29)+17.2 \\ y=6.38+17.2 \\  \\ y=23.58 \end{gathered}Then, after 29 months the tree would be 23.58 feet in height

C) In this case as you have the height and need to find the number of moths you substitute the y for 29.96feet and solve the equation for x, as follow:

\begin{gathered} 29.96=0.22x+17.2 \\ 29.96-17.2=0.22x \\ 12.76=0.22x \\ \frac{12.76}{0.22}=x \\  \\ 58=x \end{gathered}Then, after 58 months the tree would be 29.96feet tall
You might be interested in
Whats an equation that make x=31 ? like in other words give me an equation where it leads down to 31
MrRa [10]
Sure, that's easy! Here's one

5x + 7 = 162

If I wanted to solve this equation, I would break it down. I'd subtract the result (162) by 7

162 - 7 = 155.

From there I just divide that by 5!

155 / 5 = 31

There it is! Ultimate proof that x is in fact 31!
5 0
3 years ago
Read 2 more answers
At Pizza Pi, 40% of the pizzas made last week had extra cheese. If 8 pizzas had extra cheese, how many pizzas in all were made l
Natalija [7]

Answer:

20 pizzas.

Step-by-step explanation:

40% = 8

1% = 8 ÷ 40 = 0.2

100% = 0.2 x 100 = 20

3 0
3 years ago
Chelsea drew two parallel lines KL and MN intersected by a transversal PQ, as shown below:
Ilia_Sergeevich [38]

Answer:

The correct answer choice would be:

C (Same-Side Interior Angles Theorem)

Hope this helps! :)

5 0
3 years ago
Read 2 more answers
If a = 12, b = 30, and c = 22, find the area of triangle ABC to the nearest tenth.
UNO [17]
7900 should be the answer, is there any options?

4 0
3 years ago
juan and debbie each earn 9 per hour at their "jobs." Debbie worked five hours more than juan during the week. if juan and debbi
Vaselesa [24]

Using a system of equations, it is found that Debbie worked 45 hours during the week.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

  • Variable x: Amount of hours worked by Juan.
  • Variable y: Amount of hours worked by Debbie.

Juan and Debbie each earn 9 per hour at their "jobs", and earned a total of 765 for the week, hence:

9x + 9y = 765

Simplifying the expression by 9:

x + y = 85 -> x = 85 - y.

Debbie worked five hours more than juan during the week, hence:

y = x + 5.

Since x = 85 - y, we replace in the expression:

y = 85 - y + 5.

2y = 90.

y = 45.

Debbie worked 45 hours during the week.

More can be learned about a system of equations at brainly.com/question/24342899

#SPJ1

3 0
2 years ago
Other questions:
  • Graph the equation y= 1/2x +3
    5·1 answer
  • I need help on this question.
    6·2 answers
  • What is the answer to -7+3
    10·2 answers
  • on a beach trip, lucy rents a bike from "wheels by the Waves", where they rent bikes for $12 plus $3 per hour. if lucy spent $30
    15·2 answers
  • Work out size of angle cde​
    5·1 answer
  • A stack of boards is 21 inches high. Each board is 1 and 3/4 inches thick. How many boards are there?
    12·1 answer
  • How do I find the perimeter of a triangle with sides 3ft 8in., 2ft 10in., and 4 ft?
    8·1 answer
  • Simplify the expression:<br> 9v–4v+7v
    14·1 answer
  • I WILL MARK BRAINLIEST
    8·1 answer
  • The sum of three consecutive integers is -54.<br> What are the integers?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!