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3 years ago

Population data from three towns is displayed in the tables below. which town has growth that shows an exponential model?

Mathematics

2 answers:

Vinil7 [7]3 years ago

7 0

Answer:

Option C is correct.

Step-by-step explanation:

We have been given the three different datas

We will check for their growth rate.

$\frac{a_2}{a_1}$

In case of Roseville.

$\frac{108}{72}=1.5$

In case of Smithton.

$\frac{120}{78}=1.53$

In case of Travis.

$\frac{160}{107}=1.49$

So, the rate is high in case of Travis

Therefore, option C is correct.

inessss [21]3 years ago

6 0

Answer:

The correct option is A.

Step-by-step explanation:

From the given tables we can find he rate of change.

In Roseville town,

The change in population in first 10 years is

$108-72=36$

The change in population in second 10 years is

$162-108=54$

The rate of change of Roseville is not constant, therefore the first function represents a exponential function.

In Simthton town,

The change in population in first 10 years is

$120-78=42$

The change in population in next 10 years is

$162-120=42$

The rate of change of Simthton town is constant, therefore the second table represents a linear function.

In Travis town,

The change in population in first 10 years is

$160-107=53$

The change in population in next 10 years is

$213-160=53$

The rate of change of Travis town is constant, therefore the third table represents a linear function.

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The design of a digital box camera maximizes the volume while keeping the sum of the dimensions at 6 inches. If the length must

love history [14]

H = x, L = 1.5 x;
L + W + H = 6
x + 1.5 x + W = 6
W = 6 - 2.5 x
Dimensions of the camera in terms of x:
x, 1.5 x, 6 - 2.5 x.
V = L x W x H
V = x * 1.5 x * ( 6 - 2.5 x ) = 9 x² - 3.75 x³
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18 x - 11.25 x² = 0
x ( 18 - 11.25 x ) = 0
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x = 18 : 11.25
x = 1.6
The dimensions are:
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4 0

3 years ago

Plums cost $0.77 per pound Mangoes cost $1.32 per pound Write an expression that can be used to find the cost of buying p pounds

marissa [1.9K]

Answer:

The graphs below show the cost y of buying x pounds of fruit. One graph shows the cost of buying x pounds of peaches, and the other shows the cost of buying x pounds of plums.

Which kind of fruit costs more per pound? Explain.

Bananas cost less per pound than peaches or plums. Draw a line alongside the other graphs that might represent the cost y of buying x pounds of bananas.

IM Commentary

This task allows students to reason about the relative costs per pound of the two fruits without actually knowing what the costs are. Students who find this difficult may add a scale to the graph and reason about the meanings of the ordered pairs. Comparing the two approaches in a class discussion can be a profitable way to help students make sense of slope.

Solutions

Solution: Slope as Unit Rate

The graph that represents the cost of x pounds of peaches is steeper, so it must have a larger slope. The slope can be interpreted as the unit rate; in this case it tells you the cost of a single pound of fruit.

Since the slope for the peach graph is greater than the slope of the plum graph, the cost of a pound of peaches is greater than the cost of a pound of plums.

For b, students should realize that the cost per pound of bananas will be represented by a slope that is less than either of the other two, and draw a line through the origin labeled "Bananas" and lying below both of the other graphs.

Solution: Adding a scale to the graph

Students who prefer to work with specific numbers can approach this problem by sketching in a scale on the x-axis and y-axis. For example, if they decided that a pound of peaches might cost a dollar, then they might plot the point (1,1) on the line labeled "Peaches", then fill out the rest of the scale accordingly. They could then read off the cost of a pound of plums and see that it is less than for peaches.

For the second question, they could choose any price per pound b for bananas that is less than the one they read off for plums, and then draw a line from the origin through the point (b, 1), and label it "Bananas".

4 0

3 years ago

Free points: this is because of all the kindness I have seen on brainly:

const2013 [10]

Answer:

10x10= 100

Step-by-step explanation:

thx for the points

hope you have a wonderful dayyy

3 0

3 years ago

Read 2 more answers

PLEASE HELP WITH GEOMETRY WILL GIVE BRAINLIEST

sammy [17]

Answer:

Option D

Step-by-step explanation:

In the first three options we can evaluate the values of x with the help of Sine Rule for all the triangles

The Rule says

$\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}$

Where a , b and c are the sides opposite to the angles A, B and C of any ΔABC.

Hence , in order to determine unknown values of sides or angles , we need any 3 values from all 3 sides and 3 angles in a triangle. First Three options give us three values but the last option gives only 2.

Example

in first option we can apply Sine Rule as

$\frac{\sin 84}{x}=\frac{\sin 63}{3}$