2. What is the slope of the line that passes through the points shown in the table?
1 answer:
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Answer:
C. $25
Step-by-step explanation:
We will find,
The slope of the function using .
Taking the points (1,40) and (2,55).
Slope =
i.e. Slope =
i.e. Slope = 15
Substituting the slope and point (1,40) in the equation ,
We have,
i.e.
i.e. b= 25
Thus, the equation of the linear function is .
<em>This linear function represents the cost of the comic book since Lucy purchased it, where x= years.</em>
So, the initial value of the comic book is when x= 0.
So, i.e. y= 25
Hence, the cost of the book when Lucy purchased it was $25.
We have been given that Judy’s brother Sam has a collection of 96 comic books. We have been asked to find the 10 ways Sam could divide his comic books into equal groups.
This can be done as follows:
96 can be written as . Thus, we can either have 2 groups of 48 comics or 48 groups of 2 comics. As we can see we have 2 ways to divide the comic books in equal groups.
Likewise, 96 can also be written as . Here, we can similarly see that we can either have 3 groups of 32 comics or 32 groups of 3 comics. As we can again see we have 2 more ways to divide the comic books in equal groups, taking the total number of ways to 4.
Continuing in this manner we will see that we can have 4 groups of 24 or 24 groups of 4, 6 groups of 16 or 16 groups of 6 and lastly 12 groups of 8 or 8 groups of 12 comic books, thus taking the count to a <u>total of 10 ways</u> in which Sam can divide his comic books into equal groups.
Our question has been answered.