All categories

3 years ago

Which functions have the same rate of change?

Mathematics

1 answer:

Anestetic [448]3 years ago

6 0

Answer:

Option 3

Step-by-step explanation:

All equations are in slope-intercept form. $y=mx+b$

The 'm' is the slope.

The 'b' is the y-intercept.

The slope is also known as the rate of change. So, we would have to look at what replaces 'm' and select two equations that have the same rate of change.

<em>Let's look over the equations:</em>

<h3>Equation A:</h3>

$y=0.3x-6$

In this equation, 0.3 replaces 'm', so the rate of change for this equation is 0.3.

<h3>Equation B:</h3>

$y=3x-8$

In this equation, 3 replaces 'm', so the rate of change for this equation is 3.

<h3>Equation C:</h3><h3> $y=0.3x+4$ </h3>

In this equation, 0.3 replaces 'm', so the rate of change for this equation is 0.3.

<h3>Equation D:</h3><h3> $y=0.03x+1$ </h3>

In this equation, 0.03 replaces 'm', so the rate of change for this equation is 0.03.

Equation C and equation A have 0.3 as the slope. Since the question asks for two equations that have the same rate of change, the answer would be Equations A and C, or Option 3.

You might be interested in

HURRY HELP NOW!! Solve for x please !!!!

bogdanovich [222]

Answer:

X=9 so D

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Brianna and Chloe go to the movie theater and purchase refreshments for their friends.

steposvetlana [31]

Answer:

3 m + 4 n = $24.25

9 m + n = $37.00 are the required set of equations.

The cost of 1 cold drink = $3.75

The cost of 1 pop corn bag = $3.25

Step-by-step explanation:

Let us assume the cost of 1 drink = $ m

And the cost of 1 bag of popcorn = $ n

Now, Brianna buys 3 drinks + 4 bag popcorn for $24.25

⇒ Cost of 3 drinks + 4 bag popcorn = $ 24.25

or, 3 ( Cost of 1 drink) + 4 ( Cost of i bag popcorn) = $ 24.25

⇒ 3 m + 4 n = $24.25 ... (1)

Also, Chloe buys 9 drinks + 1 bag popcorn for $37.00

⇒ Cost of 9 drinks + 1 bag popcorn = $37.00

or, 9 ( Cost of 1 drink) + 1 ( Cost of 1 bag popcorn) = $37.00

⇒ 9 m + n = $37.00 ... (2)

Now, solving equation (1) and (2) ,we get:

3 m + 4 n = $24.25

9 m + n = $37.00 ⇒ n = 37 - 9 m

Substitute the value of n in the equation (1),we get:

3 m + 4 n = $24.25 ⇒ 3 m + 4 ( 37 - 9 m ) = 24.25

or, 3 m + 148 - 36 m = 24.25

or, -33 m = -123.75

or, m = 123.75/33 = 3.75, or m = 3.75

Now, n = 37 - 9 m = 37 - 9(3.75) = 3.25, or n = 3.25

Hence the cost of 1 cold drink = m = $3.75

And the cost of 1 pop corn bag = n = $3.25

3 0

3 years ago

Lindsay bedford works at a baseball cap shop. she is paid $6.50 per hour plus $0.45 foreach cap she embroiders. how many caps mu

navik [9.2K]

$6.50 x 8 = $52 which is the hourly rate for her 8 hours
Then
$0.45 x 74 = 33.3

$33.3 + $52 = $85.30

If your asking to get dead on it's the closest I came because it would be under or over the $85

8 0

3 years ago

What is the nth derivative of sin^3x?

Vladimir79 [104]

Using the chain rule.

<span><span>sin^3</span>(x) = [sin(x)<span>]^3

</span></span><span><span>d/<span>dx</span></span>[sin(x)<span>]^3</span>∗<span>d/<span>dx</span></span>[sin(x)]

</span>d/dx sinx = cosx
d/dx<span> cosx = -sinx </span>
d/dx<span> (-sinx) = -cosx </span>
d/dx <span>(-cosx) = sinx
back to where we started from!!! </span>
So,
repeat repeat repeat !!

5 0

3 years ago

Ac is included between

nataly862011 [7]

Answer:

AC is included between <A and <C.

b) angle a and angle c

7 0

2 years ago