<u>Answer:
</u>
Required value of f(0) = 4 and common difference of given sequence is 
<u>Solution:
</u>
Given sequence rule for arithmetic sequence is 
We need to determine f(0) and common difference
Calculating f(0).
Substituting x = 0 in given sequence rule we get

Calculating common difference
Let’s first calculate f(1) and f(2).
Substituting x = 1 in given sequence rule


Common Difference can be found by subtracting f(1) from f(2)

Hence required value of f(0) = 4 and common difference of given sequence is 
Answer:
1. $2.50
2. 120 bagels
Step-by-step explanation:
1. First, we are told that for every twelve bagels, it costs $5
we can use this information to set up the ratio:

Now, for the first question, we have to figure out how much it would cost to buy six bagels. We can use x for the cost since it is unknown as write the ratio:

since the rate of change is constant, we can set these two ratios equal to each other and cross multiply to solve for x.
= 
5 * 6 = 12 * x
30 = 12x
x = 2.5
it would cost $2.50 for 6 bagels.
2. For this problem, we can use the same first ratio of:

Now in this problem, the amount of bagels is unknown. we can use y to represent the number of bagels and set up the ratio of

we can make these two ratios equal to each other and cross multiply
= 
5 * y = 12 * 50
5y = 600
y = 120
For $50, you can buy 120 bagels
hope this helped!
The sales tax is 3.49 I think
Step-by-step explanation:
The answer for third is D, you have multiple choice in fourth which I can't see at all...