Which exponential function is represented by the graph?
1 answer:
Answer:
Step-by-step explanation:
Let's solve this using our formula for exponential functions:
where a is the initial value and b is the growth/decay rate. We will fill that equation in with 2 of the coordinates on the graph and come up with the values for both a and b. (0, 3) and (1, 6):
. Anything raised to the power of 0 is 1, so that means that
a = 3. We will use that value along with the x and y from the second coordinate to solve for b:
. b to the first is just b, so our equation is
6 = 3b and
b = 2.
Our equation then is
, the third choice down.
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Let the total cost of the item be represented by C and the price be represented by P, then given that t<span>he total cost of an item including sales tax is directly proportional to its price, thus</span>
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Given that <span>the total cost of a $32 item is $33.60, thus
Therefore, the total cost on a $55 item is given by
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where k is a constant.
Given that <span>the total cost of a $32 item is $33.60, thus
Therefore, the total cost on a $55 item is given by