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
shtirl [24]
3 years ago
12

Find the equation of the linear function represented by the table below in slope-

Mathematics
1 answer:
11111nata11111 [884]3 years ago
7 0

Answer:

y = 5x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (1, 4) and (x₂, y₂ ) = (2, 9)

m = \frac{9-4}{2-1} = \frac{5}{1} = 5 , then

y = 5x + c ← is the partial equation

To find c use any ordered pair from the table and substitute into the partial equation.

Using (3, 14 ) , then

14 = 15 + c ⇒ c = 14 - 15 = - 1

y = 5x - 1 ← equation of line

You might be interested in
Tasha is five less than twice as old as his brother Nathan together their ages add up to 25 how old is Tasha and his brother Nat
Zolol [24]
2x-5=25
Add 5 to both sides
2x-5+5=25+5
2x=30
Now, divide both sides to find x
2x/2=30/2
x=15
Nathan is 15 years old
To find Tasha's age, subtract 25 and 15
Therefore, Tasha is 10 years old
Hope I helped!
6 0
3 years ago
I need to distribute 5(y+3)=35
Anit [1.1K]
Answer: y= 4

Good luck !
7 0
3 years ago
Plz help i need to rase my grade
jeka57 [31]

The average of anything is calculated by adding up all the terms in the data set and dividing by the amount of terms in the data set.

In this problem,

The average = $1000

the amount of terms = 3

x = the amount earned Sunday

($1073 + $1108 + x) / 3 = $1000

First, multiply both sides by 3

$1073 + $1108 + x = $3000

Add together like terms

$2181 + x = $3000

Subtract $2181 from both sides.

x = $819

The restaurant needs to earn $819 on Sunday to have an average of $1000

6 0
3 years ago
The value of an autographed baseball from 2017 is $300. The value of the baseball exponentially increases by 5% each year after
WARRIOR [948]
General exponential equation
y = A(1+r)^x
where
A = initial value
r = rate increase (+) or decrease (-)
x = time period of the change
y = projected value

y = 300(1.05)^x
in this problem, x = years after 2017
we want to find an x that makes the value more than or equal to 650

650 <= 300(1.05)^x
7 0
3 years ago
Mark is going shopping to buy hamburger buns and hot dog buns. Each pack of hamburger buns costs $1.49 and each pack of hot dog
Alexandra [31]

Answer: He should spend $13.7 and he bought 5 of each bun and hotdog

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • Two jets leave Dallas at the same time and fly in opposite directions one is flying west 50 mph faster than the other another tw
    9·1 answer
  • EXTRA POINTS!
    15·1 answer
  • My question is in the picture pls help
    9·2 answers
  • What is the equation in slope-intercept form if a line that passes through (-2,2) and is perpendicular to graph of y=1/2x - 3
    12·1 answer
  • Can you determine it if it is defined or not
    5·1 answer
  • Let f (x) = 1/x<br> and g(x) = x² – 3x. What<br> two numbers are not in the domain of fºg?
    10·2 answers
  • The The U.S.based motorcycle manufacturer says that it expects to build 140,000 motorcycles this year, up from 126.000 last year
    14·1 answer
  • All of the following are equivalent except _____.
    7·1 answer
  • Help please! This has to do with the Pythagorean theorem.
    11·1 answer
  • 3. You have $20 to spend at the snack bar. All of the
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!