Question

Describe the pattern in the numbers 9.001, 9.010, 9.019,

9.028, ... and write the next three numbers in the pattern.

Hint:

### Find the difference between each term.

## The correct answer is: the sequence is, 9.001, 9.010, 9.019, 9.028, 9.037, 9.046, 9.055,...

Complete step by step solution:

Here we have the first term to be 9.001. When we add .009 to the first term we get

the second term, that is 9.010.

When .009 is added to the second term, we get the third term, that is, 9.019.

Likewise, when .009 is added to the third term, we get the fourth term to be 9.028.

So, the difference between each term in this sequence is .009.

So, next 3 terms would be

9.028 +.009 = 9.037, 9.037 +.009 = 9.046 and

9.046 +.009 = 9.055

So the sequence is, 9.001, 9.010, 9.019, 9.028, 9.037, 9.046, 9.055,.....

9.028 +.009 = 9.037, 9.037 +.009 = 9.046 and

9.046 +.009 = 9.055

So the sequence is, 9.001, 9.010, 9.019, 9.028, 9.037, 9.046, 9.055,.....

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### A train leaves the station at time . Travelling at a constant speed, the train travels 360 kilometers in 3 hours.

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### A train leaves the station at time . Travelling at a constant speed, the train travels 360 kilometers in 3 hours.

a) Write a function that relates the distance travelled ,d to the time, .

b) Graph the function and tell whether it is a linear function or non linear function.

There are other ways to determine whether a function is linear or not, like, checking if the slope is equal between each of the points or if the equation can be written in the form of y = ax + b, where a and b are constants.

### Do the ordered pairs plotted in the graph below represents a function? Explain.

In a function, every value of x must have one value of y. When we draw a vertical, it cuts x axis at one point, we take that point to be x. If the vertical line cuts the graph at two points, then it gives two values of y for one value of x. This does not represent a function.

### Do the ordered pairs plotted in the graph below represents a function? Explain.

In a function, every value of x must have one value of y. When we draw a vertical, it cuts x axis at one point, we take that point to be x. If the vertical line cuts the graph at two points, then it gives two values of y for one value of x. This does not represent a function.

### The relationship between the number of hexagons, , and the perimeter of the figure they form, , shown in the graph. Is the perimeter of the figure a function of the number of hexagons? Explain.

In a function, every value of x must have one value of y. When we draw a vertical, it cuts x axis at one point, we take that point to be x. If the vertical line cuts the graph at two points, then it gives two values of y for one value of x. This does not represent a function.