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belka [17]
3 years ago
11

1 4 Joey enlarged a 3-inch by 5-inch photograph on a copy machine. He enlarged it four times. The table below shows

the area of the photograph after each enlargement
Enlargement
2 3
Area (square inches) 15 18.8 23.4 29.3 36.6
What is the average rate of change of the area from the original photograph to the fourth enlargement, to the
nearest tenth
1) 43
3) 5.4
2) 4.5
4) 6.0

Mathematics
1 answer:
lozanna [386]3 years ago
4 0

Answer:

3) 5.4

Step-by-step explanation:

Given two points (x1, f(x1)) and (x2, f(x2)), the average rate of change is computed as follows:

[f(x2) - f(x1)]/[x2 - x1]

From the original photograph to the fourth enlargement, the points are (0, 15) and (4, 36.6). Replacing into the equation we get:

[36.6 - 15]/[4 - 0] = 5.4

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The population of a city is 250,000 and the annual growth rate is 2.2%. Write an equation to model the population y after x year
Zinaida [17]

Answer:

y= 250000(1.022)^x

Step-by-step explanation:

The population of a city is 250,000 and the annual growth rate is 2.2%

General equation for exponential growth is

y= P(1+r)^x

Where y is final population and P is the initial population

'r' is the rate of growth and x is the number of years

p = 25000 and r= 2.2%= 0.022. Replace all the values in the general equaiton

y= P(1+r)^x

y= 250000(1.022)^x

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3 years ago
Sue Brown is a salesperson at a car dealership. She earned a gross pay of $8000 for the month of June. Her state tax rate is 3.5
Neporo4naja [7]

Sue Brown owes $280.00 in state taxes for the month.

Step-by-step explanation:

Given,

Gross pay of Sue in June = $8000

Tax rate = 3.5%

As full amount is taxable; therefore

Amount of tax to be paid = 3.5% of pay of June

Amount of tax to be paid = \frac{3.5}{100}*8000

Amount of tax to be paid = 0.035*8000

Amount of tax to be paid = $280.00

Sue Brown owes $280.00 in state taxes for the month.

Keywords: percentage, multiplication

Learn more about percentage at:

  • brainly.com/question/11921476
  • brainly.com/question/1232765

#LearnwithBrainly

4 0
3 years ago
B. The sum of three numbers is 51. The second number is three more than the first number, and the third number is
Svetach [21]

Answer:

12, 15, 24

Step-by-step explanation:

Let 1st # = x

Let 2nd # = x+3

Let 3rd # = 2x

Your equation is: x + (x+3) + 2x = 51

Add up all the x: x + x +3 +2x =51

Subtract 3 from both sides: 4x + 3 - 3 = 51 - 3

Divide 4 from both sides: 4x / 4 = 48 / 4

Your 1st number is x = 12

For the 2nd # it is 3 more than x so 12 + 3 = 15

For the 3rd # it is 2 times x so 2(12) = 24

Check your answers by adding up the numbers you solved: 12 + 15 +24 = 51

Does it equal to 51 as stated in the question? Yes, answers check out.

7 0
3 years ago
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