Mathematics, 04.01.2021 21:00, Dericktopsom

This is due today i would appreciate it a lot if smn could help me with it :/

Answers: 1

Show answers

Answers

answered: dysany8876

Conclusion:

The rate of change of function 1 = 3

The rate of change of function 2 = 5/3

Hence, function 1 has a greater rate of change

The initial Value of function 1 = y = 2

The initial Value of function 2 = y = 3

Hence, function 2 has a greater initial value.

Step-by-step explanation:

Function 1)

Determining rate of change for function 1:

x 1 2 3 4

y 5 8 11 14

Finding the rate of change or slope using the formula

Rate of change = m = [y₂-y₁] / [x₂-x₁]

Taking any two points, let say (1, 5) and (2, 8)

Rate of change = m = [8-5] / [2-1]

= 3/1

= 3

Therefor, the rate of change of function 1 = m = 3

using point-slope form to determine the function equation

y-y₁ = m (x-x₁)

where m is the rate of change or slope

substititng m = 3 and the point (1, 5)

y - 5 = 3(x - 1)

y - 5 = 3x-3

y = 3x-3+5

y = 3x + 2

Thus, equation of function 1 will be:

y = 3x + 2

Determining Initial Value for Function 1:

substituting x = 0 in the equation to determine the initial value

y = 3(0)+2

y = 0+2

y = 2

Therefore, the initial Value of function 1 will be: y = 2

Function 2)

Determining the rate of change for function 2:

Given the function 2

$y\:=\:\frac{5}{3}x+3$

comparing with the slope-intercept form of a linear function

y = mx+b where m is the rate of change

so the rate of change of function 2 = m = 5/3

Determining Initial Value for Function 2:

substituting x = 0 in the equation to determine the initial value

$y\:=\:\frac{5}{3}x+3$

$y\:=\:\frac{5}{3}\left(0\right)+3$

y = 0+3

y = 3

Therefore, the initial Value of function 2 will be: y = 3

Conclusion:

The rate of change of function 1 = 3

The rate of change of function 2 = 5/3

Hence, function 1 has a greater rate of change

The initial Value of function 1 = y = 2

The initial Value of function 2 = y = 3

Hence, function 2 has a greater initial value.

answered: Guest

on a coordinate grid, point a is at (−4.0, −2.4) and point b is at (4.0, −2.4). point b is a reflection of point a across the –axis. input either a lowercase x or i think is the right awnser

step-by-step explanation:

answered: Guest

- both graphs increase on their domain.

- the graphs of both functions have the same x-intercept.

- neither graph has a y-intercept.

Other questions on the subject: Mathematics

Mathematics, 21.06.2019 19:30, ginocousins06

Fa bus driver leaves her first stop by 7: 00 a. m., her route will take less than 37 minutes. if she leaves after 7: 00 a. m., she estimates that the same route will take no less than 42 minutes. which inequality represents the time it takes to drive the route, r?

Answers: 3

continue

Mathematics, 21.06.2019 20:10, 2Pallie2

Ascientist has discovered an organism that produces five offspring exactly one hour after its own birth, and then goes on to live for one week without producing any additional offspring. each replicated organism also replicates at the same rate. at hour one, there is one organism. at hour two, there are five more organisms. how many total organisms are there at hour seven? 2,801 19,531 19,607 97.655

Answers: 1

continue

Mathematics, 21.06.2019 20:10, Jasten

21 type the correct answer in the box. use numerals instead of words. if necessary, use / for the fraction bar. the solution set of n2 - 14n = -45 is { (separate the solutions with a comma)

Answers: 3

continue

Mathematics, 21.06.2019 22:30, winterblanco

How do you do the foil method with polynomials?

Answers: 1

continue

Do you know the correct answer?

This is due today i would appreciate it a lot if smn could help me with it :/
...