# The table shows a linear relationship between x and y What is the rate of change of y with respect to x?

We have been given a table that shows a linear relationship between x and y. We are asked to find the rate of change change of y with respect to x.

To solve our given problem, we will find the slope of the line passing through the given points.

Let us find slope of line using points and .

Therefore, the rate of change of y with respect to x is .

In a linear relationship, the rate of change is constant and represents how much the dependent variable changes for every unit increase in the independent variable. To find the rate of change, calculate the slope of the line.

### Explanation:

In a linear relationship, the rate of change is constant. It represents how much the dependent variable (y) changes for every unit increase in the independent variable (x).

To find the rate of change, you can calculate the slope of the linear relationship. The slope is determined by taking the difference in the y-coordinates divided by the difference in the x-coordinates between two points on the line.

For example, if the table shows that for every increase of 2 units in x, y increases by 3 units, then the rate of change of y with respect to x is 3/2.

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## Related Questions

-- Cost of one child's ticket = 2 x 1.
Cost of 2 children's tickets = 2 x 2
Cost of 3 children's tickets = 2 x 3
Cost of 5 children's tickets = 2 x 5
.
Cost of  'c'  children's tickets = 2 c .

-- Cost of one adult's ticket = 6 x 1.
Cost of 2 adult's tickets = 6 x 2
Cost of 3 adult's tickets = 6 x 3
Cost of 5 adult's tickets = 6 x 5
.
Cost of  'a'  adult's tickets = 6 a .

-- Total cost of tickets for 'a' adults and 'c' children = 6a + 2c .

The question tells us the ride collected a total of \$148,
so
6a + 2c = 148 .

-- The number of adults who bought tickets was  'a' .
The number of children who bought tickets was 'c' .
The number of dogs who bought tickets was zero.
The total number of tickets sold was   a + c .

The question tells us that 38 tickets were sold,
so
a + c = 38 .

The correct answer is most likely B. Hope I helped :)

For a field trip for students Road in cars and the rest filled nine buses how many students were in each bus it for how to 72 students were on the trip?

72 divided by 9 equals 8
72/9=8

If the x value is reapeted in a set of x values, is it a function?when finding a function do you loko at x values or y values?

❅☃ If the x value is repeated it is considered a non-function.
So if we had x values of:
2
3
6
it is a function
3
6
6
it is a non function because the 6 was repeated
❅☃ Yes, you have to look at the x values, if you do not look at the x values, then you cant determine the functions.
yes it is still a function it just wont be linear

1,390,000,000 in scientific notation

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1,390.0 I think I’m not Answer:

Step-by-step explanation:

Larry is 10 years old and his sister is 7 years old. In how many years time will there total age be 25 years?

In 4 years, their ages will add up to 25. Larry will be 14 and his sister will be 11
In the next 25 years, Larry will be 35 years old, while his sister will be 3 years less than him which is 32 years old for his sister, since his sister is 3 years younger.

What is 171 divided by 9 show your work if u can

It is to be noted that 171 divided by 9 equals 19. This is a division prompt.

### How to compute the above

19

___________

9 | 171

- 9

-----

81

- 81

-----

0

Therefore, 171 divided by 9 equals 19.

Note that division is a mathematical operation that involves dividing a number (the dividend) by another number (the divisor) to find the quotient.

The quotient represents the result or answer obtained from dividing the dividend into equal parts determined by the divisor.

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19
9/171
-9
➖➖
81
-81
➖➖
00