The cost to send a package between two cities is $9.00 for any weight less than 1 pound. The cost increases by $7.00 when the weight reaches 1 pound and again each time the weight reaches a whole number of pounds after that. Express the shipping cost C (in dollars) as a function of the weight w (in pounds). Express your answer in terms of the greatest integer function, ⌊w⌋. Do not use dollar signs ($) in your answer.

C(w) = + ⌊w⌋

answer: solve 5\cdot 2^x=2405⋅2  

x

=2405, dot, 2, start superscript, x, end superscript, equals, 240.

solution

to solve for xxx, we must first isolate the exponential part. to do this, divide both sides by 555 as shown below. we do not multiply the 555 and the 222 as this goes against the order of operations!

\begin{aligned} 5\cdot 2^x& =240 2^x& =48 \\ \end{aligned}  

5⋅2  

x

2  

x

​    

=240

=48

​

step-by-step explanation:

answer:

c) the x-coordinate of the center of the circle increases by 3

it goes right