Mr. ken's class is collecting empty water bottles. they started with 17 water bottles on day 1. on day 3, they had 30 water bottles. on day 5, they had 47 water bottles. how many water bottles did they have in day 2 and on day 4? how many water bottles will there be on day 7?

They had 23 and 38 water bottles on day 2 and day 4 respectively. Also, there will be 68 water bottles on day 7.

Explanation

Suppose, the equation representing the number of bottles is   , where is the number of days.

There are 17 water bottles on day 1,  30 water bottles on day 3 and  47 water bottles on day 5

So, the three points in the form of (x, y) are:   (1, 17) , (3, 30) and (5, 47)

Plugging these three points into the above equation, we will get .....

Subtracting equation (1) from equation (2) , we will get .....

Subtracting equation (2) from equation (3) , we will get .....

Now, subtracting equation (4) from equation (5) , we will get ......

Substituting this into equation (4) ........

Again, substituting and into equation (1) , we will get ......

So, the equation will be now:  

For finding the number of bottles on day 2 , day 4 and day 7 , we need to plug respectively into the above equation.

For ,  

For ,  

For ,  

So, they had 23 water bottles on day 2 and 38 water bottles on day 4

Also, there will be 68 water bottles on day 7

26

step-by-step explanation:

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.