PLEASE HELP!!!!

  1. Find the correct table of values for the following function:  y = x – 3  (1 point)

x

y

10

8

8

6

6

4


x

y

10

13

8

11

6

9


x

y

10

7

8

5

6

3


x

y

10

3

8

3

6

3



  1. Evaluate the function for x = 2: f(x) = 7x – 5  (1 point)

9


19


–9


–19



  1. Candy is on sale for $0.75 each. You have a coupon for $0.25 off your total purchase. Write a function rule for the cost of n pieces of candy.  (1 point)

C(n) = 0.25n – 0.75


C(n) = 0.75n – 0.25


C(n) = 1.0n


C(n) = 0.75n



  1. The ordered pairs (0, 0), (2, 4), (4, 8), and (6, 12) represent a function. What is the rule for this function?  (1 point)

y = x +2


y = 3x


y = x + 4


y = 2x

Verified Answer :

  1. 3rd one

    2. f(x) = 7x - 5
        f(2) = 7(2) - 5
        f(2) = 14 - 5
        f(2) = 9

    3. c(n) = 0.75n - 0.25

    4. (0,0)(2,4)
        slope = (4 - 0) / (2 - 0) = 4/2 = 2
        answer is : y = 2x

QUESTION 1

\(y = x - 3\)


When



x=10, y=10-3=7



\(x=10, y=10-3=7 \\  \\ x=8, y=8-3=5 \\  \\ x=6, y=6-3=7\)






Hence the correct answer is C.



QUESTION 2

We have


\(f(x) = 7x - 5\)


To evaluate this function at


\(x = 2\)



We replace x with 2 in the given function to obtain,





\(f(x) = 7(2)- 5\)




We now simplify to obtain,




\(f(x) = 14 - 5 = 9\)



The correct answer is A.




QUESTION 3

If each candy is $0.75, then n pieces will be


$ \(0.75n\)



If you have $0.25 off, then cost of n pieces of candy will be


$ \(c(n)= 0.75n - 0.25\)



The correct answer is B.



QUESTION 4


We have been given the ordered pairs,



\((0,0),(2,4),(4,8),(6,12)\)



By inspection you can observe that,



\(x \rightarrow2(x)\)



Hence


\(y = 2x\)


Or we can alternatively use,





\(y = mx + c\)




and substitute any two points to find the constants.





When we substitute




\((0,0)\)



We get



\(0 = m(0) + c\)




\(0 = 0 + c\)


which gives


\(c = 0\)


Our equation now becomes,



\(y = mx\)


We now substitute our second point, say



\((2,4)\)


\(\Rightarrow 4 = 2m\)




\(\Rightarrow 2= m\)




Therefore,




The equation is



\(y =2x\)




Therefore the correct answer is D.

View image kudzordzifrancis