To furnish a room in a model home, an interior decorator is to select 2 chairs and 2 tables from a collection of chairs and tables in a warehouse that are all different from each other. if there are 5 chairs in the warehouse and if 150 different combinations are possible, how many tables are in the warehouse?

The number of tables in the warehouse are:

                             6

We know that the method of combination is used to find the number of combinations possible in order to select r items from a set of n items

and is given by:

Now, it is given that:

In order to furnish a room we have to select 2 chairs and 2 tables from 5 chairs and let there are t tables.

Also, the total number of combinations possible are: 150

i.e.

But the number of table can't be negative.

Hence, we get:

        There are 6 tables in the warehouse.

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is