3. Handy Andy sells 23 oz. cans of green beans for 63 cents and 15 oz. cans for 45 cents. Assume the price varies linearly with the number of ounces.
a. Write a function to express the price in terms of the number of ounces in a can.
b. At the store a 52 oz. can sells for $1.39. According to your model is it over-priced or under-
priced? Explain. (Evaluate f(52) and compare to the price)
c. Suppose an "individual serving" can of green beans costs $0.21. About how many ounces of
green beans would you expect it to contain? (Find x when f(x) = 0.21)

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

600,000,000,000, or 6e14

step-by-step explanation: