So firstly, let's figure out the expression for a singular goody bag. Since there's 2 of each item, a single goody bag is going to be
Now since we have 7 friends who are all getting 1 goody bag, multiply the cost of the goody bag by 7, and our expression is . Now we can solve it from there.
Firstly, solve the multiplication inside the parentheses:
Now add up what's inside the parentheses:
Lastly, multiply and <u>your answer will be $56.56</u>
Answer: option a.
Explanation:
A <em>shrink</em> of a function is a <em>shrink</em> on the vertical direction. It means that for a certain value of x, the new function will have a lower value, in the intervals where the function is positive, or a higher value, in those intervals where the function is negative. This is, the image of the new function is shortened in the vertical direction.
That is the reason behind the rule:
So, we just must apply the rule: to find a shrink of an exponential growth function, multiply the original function by a scale factor less than 1.
Since it <em>is a shrink of</em> <em>an exponential growth function</em>, the base must be greater than 1. Among the options, the functions that meet that conditon are a and b:
Now, following the rule it is the function with the fraction (1/3) in front of the exponential part which represents a <em>shrink of an exponential function</em>.