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photoshop1234 [79]
3 years ago
5

Click on the phrase (s) that describe a nonlinear function.Kathy is planning to move to a different state next month. She finds

out that the truck rental cost $50 plus $1 per mile she travels.The rental company also provides 4 different sizes of moving boxes for purchase.The volume of each box doubles in size from the volume of the next smallest box. Lastly, she calculates the cost of staying 3 nights at a hotel if it cost $105 per night during the trip.
Mathematics
1 answer:
pshichka [43]3 years ago
4 0

Answer:

The rental company also provides 4 different sizes of moving boxes for purchase.The volume of each box doubles in size from the volume of the next smallest box

Step-by-step explanation:

Linear functions those relation which produces a straight line graph while non - linear functios produces curves or other shapes asides a straight line. Non linear functios could be quadratic, Exponential or so on in nature.

Equation of a linear equation include :

y = a + bx OR

y = bx

First expression :

y = $50 + x ;

slope, b = 1 ; intercept, a = 50

Third expression :

y(x) = 105x

Second expression:

V(x) = V0 * e^2x

Second expression is exponential while the first and third is linear.

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A cafeteria serves lemonade that is made from a powdered drink mix. There is a proportional relationship between the number of s
Vitek1552 [10]

All the answers to the given parts are mentioned below -

<h3>What is the general equation of a Straight line? How it represents a proportional relationship?</h3>

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

y = mx also represents direct proportionality. We can write [m] as -

m = y/x

OR

y₁/x₁ = y₂/x₂

We have a cafeteria serves lemonade that is made from a powdered drink mix. There is a proportional relationship between the number of scoops of powdered drink mix and the amount of water needed to make it. For every 2 scoops of mix, one-half gallon of water is needed, and for every 6 scoops of mix, one and one-half gallons of water are needed.

We can write the proportional relationship as -

y = kx

Now, from the given information, we can write -

2 scoops need 0.5 gallon of water

6 scoops need 1.5 gallon of water

So -

k = 2/0.5

k = 2/(1/2)

k = 2 x 2 = 4

Equations that represents the relationship can be written as -

y = 4x + c

Now, 2 scoops need 0.5 gallon of water.

2 = 4 x 1/2 + c

2 = 2 + c

c = 0

So, the equation will be y = 4x.

Graph of y = 4x is attached at the end.

For 10 scoops of water -

10 = 4x

x = 2.5 gallons of water is needed.

Therefore, all the answers to the given parts are mentioned above.

To solve more questions on proportional relationship, visit the link below-

brainly.com/question/12917806

#SPJ1

5 0
1 year ago
CHECK ANSWERS -
Tju [1.3M]
Both are correct.

Good job!
6 0
3 years ago
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