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
Yuri [45]
2 years ago
12

Graphing proportional relationships

Mathematics
1 answer:
Svet_ta [14]2 years ago
6 0

a. The unit rate is 9 d per t

b. Find the graph in the attachment

To graph the line, we need to find its gradient or unit rate

<h3>a. How to calculate the unit rate of change of d with respect to t?</h3>

Since t has an increase of 0.20 units in t corresponds to an increase of 1.8 units in d.

The gradient or unit rate of change is m = change in d/change in t

= Δd/Δt

Since

  • Δd = +1.8 units and
  • Δt = +0.2 units

So, substituting the values of the variables into the equation, we have

m = Δd/Δt

= + 1.8 units/+ 0.2 units

= 9 d per t

So, the unit rate is 9 d per t

<h3>b. The graph of the line</h3>

To graph the function, we need to know the equation of the graph.

So, the equation of a graph in gradient form is

m = (y - y')/(x - x') where (x', y') = (0, 0) since the graphs both start at the origin

Since m = 9, we have

m = (y - y')/(x - x')

9 = (y - 0)/(x - 0)

9 = y/x

y = 9x

So, the equation of the line is y = 9x

Find the graph in the attachment.

Learn more about graphs here:

brainly.com/question/3939432

#SPJ1

You might be interested in
Please help please please I’ll give brainly please pleas s
Vikki [24]

Answer:

1. The y-intercept is 10

2. The slope-intercept is -2

Step-by-step explanation:

1. The y-intercept is 10 because when the x-intercept is 0 the y-intercept should be on the other side.

2.  (2,6) and (-1,12)

slope=rise/run= the change of y/the change of x=m=y2-y1/x2-x1

         1. change of x=-1-2=-3  and change of y= 12-6=6

         2. 6/-3= -2

     

hope this helps <3

4 0
2 years ago
Alternate angles explain
Tanzania [10]

Here is the required diagram .

\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\multiput(0,0)(0,3){2}{\line(1,0){4}}\qbezier(0,0)(0,0)(4,3)\qbezier(1,0)(1.2,0.35)(0.8,0.6)\qbezier(3,3)(2.8,2.65)(3.2,2.4)\put(2.5,0.02){\vector(1,0){0}}\put(1.5,3.02){\vector(-1,0){0}}\end{picture}

Alternate angles are equal .

4 0
3 years ago
Write 108.92 in expanded form
Kitty [74]
Sorry if my writing is sloppy

5 0
3 years ago
2/x2-9 - 3x/ x2-5x+6 please show work
Luda [366]

Answer: -3x^3 - 7x^2 - x + 39

Step-by-step explanation:

2/(x^2 -9) - 3x/(x^2-5x+6)

get those denominators factored out

2/(x-3)(x+3) - 3x/(x-3)(x-2)

Multiply both by both denominators

2(x-3)(x-2) - 3x(x-3)(x+3)

Multiply it out

(2x^2 - 10x + 12) - (3x^3 + 9x^2 -9x - 27)

Simplify and it becomes

-3x^3 -7x^2 -x + 39

5 0
3 years ago
You and your friend mix water and citric acid. You add 3 cups of citric acid for every 16 cups of water. Your friend adds 2 cups
Viktor [21]

Answer:

You:If it’s was 6 cups of citric I’d be to 32 water

Your friend: if it was 4 cups it’d be 12 water

Step-by-step explanation:

I believe your friends is more acidic because your Is being diluted more

4 0
2 years ago
Other questions:
  • Please answer this question correctly I need it today please show work
    13·1 answer
  • A store has a $74.99 item on sale for 30% off. What is the sale price on this item?
    7·1 answer
  • The original price of a bicycle was $375. Now it is on sale for $295. What percentage of the original price was the markdown?
    14·2 answers
  • Simplify y 2 + 11y - 6y + y 2.<br><br> A y4 + 5<br> B y4 + 5y<br> C 2y 2 + 5<br> D 2y 2 + 5y
    12·2 answers
  • Use the graphs of the transformed toolkit functions to write a formula for each of the resulting functions.
    15·1 answer
  • Express 15.68 trillion in scientific notation.
    9·1 answer
  • Which graph best represents the solution to 1/2x - 2 = 3
    6·1 answer
  • Elizabeth is organizing dessert plates with 15 brownies and 9 chocolate chip cookies. If she wants all the plates to be exactly
    10·1 answer
  • Complete the equation of the line whose y-intercept is (0, -1) and slope is 4.<br> (Khan academy)
    5·1 answer
  • 60% of N is 28.8. what is the answer?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!