Question

15 points! Help!!

1) The ordered pairs (0, 1), (1, 6), (2, 36), (3, 216), and (4, 1,296) represent a function. What is a rule that represents this function?

A. y=x^6

B. y=6x

C. y=x+6

D. y=6^x


2) Suppose noodle soup is on sale for $0.75 a can, and you have a coupon for $0.50 off your total purchase. Write a function rule for the cost of n cans of soup.

A. C(n)=0.75n-0.5

B. C(n)=0.5n-0.75

C. C(n)=(0.75+n)-0.5

D. C(n)=(0.5+n)-0.5

Answer 1

For the first one the answer is, D
For the second one the answer is, A

Answer 2

Answer:

1. D

2. A

Step-by-step explanation:

1. We have the ordered pair (0,1).

Substituting these values in the options given, we will discard the options which does not satisfy.

i.e. When x = 0, y = 1.

A) y = x^6, x = 0 gives y = 0.

B) y = 6x, x = 0 gives y = 0.

C) y = x+6, x = 0 gives y = 6.

D) y = 6^x, x = 0 gives y = 1.

So, options A, B, C are discarded and these points represents option D. y = 6^x.

2. We have that, the cost of one can of noodle soup is $0.75.

Therefore, the cost of 'n' cans of noodle soup will be $0.75 × n.

As, there is an off of $0.50 on the total purchase.

Hence, the function for the cost of n cans of soup is C(n) = 0.75 × n - 0.50 i.e. option A.