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34kurt
3 years ago
10

Before starting his job, Clayton had been on an airplane 3 times. Since then, he has flown 6 times each year.

Mathematics
1 answer:
xz_007 [3.2K]3 years ago
8 0

Answer:

f = 6y + 3

Step-by-step explanation:

<u>The equation to reflect this condition is:</u>

  • f = 6y + 3

<u>Where</u>

  • 3 - is constant, the initial number of flights
  • 6 - coefficient, number of flights per year
  • y- number of years
  • f- total number of flights
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The constant of proportionality for this relationship is
Vera_Pavlovna [14]

Answer: The constant of proportionality is 1.5

Step-by-step explanation:

The equation for constant of proportionality is y=KX. the K stands for the constant of proportionality and since the constant proportionality is 1.5 you will take 1.5 * x and for example x is 2 so you do 1.5 * 2 and you get 3 and 3 is your y. If you plug in the equation you're saying 3 equals 1.5 * 2 which is right.

7 0
3 years ago
Read 2 more answers
Answer this please thanks!
Alekssandra [29.7K]

Answer:

C

Step-by-step explanation:

Use the pythagorean theorem

a² + b² = c²

3² + 4² = c²

9 + 16 = c²

25 = c²

5 = c

7 0
3 years ago
The table below represents the displacement of a turtle from its nest as a function of time: Time (hours) x Displacement from ne
andriy [413]
Part A: The y-intercept is 5. If you look to the data, when x=0, y=5. This means that the turtle started off 5 miles away from its nest. (at 0 hours, the distance away from his nest was 5 miles)

Part B:Answer=22. Remember, if you take any two distinct points on a line, the slope of the line will be equal to the average rate of change. In short,  we're just looking for the slope between the ordered pairs (1,27) and (4,93). The formula for slope is:

slope= \frac{y_{2}- y_{1} }{ x_{2} - x_{1} } = \frac{93-27}{4-1}= \frac{66}{3}=22

The average rate of change between x=1 and x=4 is 22. The average rate of changed describes the rate at which miles is changing with respect the the change in hour.

Part C: Answer=10hours. Since by now we know both the slope and the y-intercept, lets write the equation in slope intercept form and then solve for 225 miles.

y=mx+b
y=22x+5
225=22x+5
subtract 5 from both sides
220=22x
divide both sides by 22
10=x
It would take 10 hours for the turtle to travel 225miles from it's nest.
4 0
3 years ago
Abigail runs a 35 mile race. After an hour she has run 20% of the race. How far did Abigail run in an hour?
Pie

Answer:

7 miles

Step-by-step explanation:

35 x 0.2 = 7 miles

5 0
2 years ago
Read 2 more answers
If the 6th term of an arithmetic progres- sion is 11 and the first term is 1, find the common difference.​
Darina [25.2K]

Answer:

2

Step-by-step explanation:

An arithmetic progression with first term a and common difference d has the following first 6 terms:

a, a + d, a + 2d, a + 3d, a + 4d, a + 5d

We are given a = 1 and a + 5d = 11.

1 + 5d = 11

5d = 10

d = 2

Answer: The common difference is 2.

3 0
1 year ago
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