first off, let's notice that Purple's time is in minutes, whilst the rate is in miles per hour, the units of both must correspond, so, we can either change the time from minutes to hours or the rate from hours to minutes, hmmm let's change the time to hours.
so 40 minutes, we know there are 60 minutes in 1 hour, so 40 minutes will be 40/60 of an hr, or namely 2/3.
![\qquad \qquad \textit{inverse proportional variation} \\\\ \textit{\underline{y} varies inversely with \underline{x}} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}}{x}~\hfill } \\\\ \textit{\underline{x} varies inversely with }\underline{z^5} ~\hspace{5.5em} \stackrel{\textit{constant of variation}}{x=\cfrac{\stackrel{\downarrow }{k}}{z^5}~\hfill } \\\\[-0.35em] ~\dotfill](https://tex.z-dn.net/?f=%5Cqquad%20%5Cqquad%20%5Ctextit%7Binverse%20proportional%20variation%7D%20%5C%5C%5C%5C%20%5Ctextit%7B%5Cunderline%7By%7D%20varies%20inversely%20with%20%5Cunderline%7Bx%7D%7D%20~%5Chspace%7B6em%7D%20%5Cstackrel%7B%5Ctextit%7Bconstant%20of%20variation%7D%7D%7By%3D%5Ccfrac%7B%5Cstackrel%7B%5Cdownarrow%20%7D%7Bk%7D%7D%7Bx%7D~%5Chfill%20%7D%20%5C%5C%5C%5C%20%5Ctextit%7B%5Cunderline%7Bx%7D%20varies%20inversely%20with%20%7D%5Cunderline%7Bz%5E5%7D%20~%5Chspace%7B5.5em%7D%20%5Cstackrel%7B%5Ctextit%7Bconstant%20of%20variation%7D%7D%7Bx%3D%5Ccfrac%7B%5Cstackrel%7B%5Cdownarrow%20%7D%7Bk%7D%7D%7Bz%5E5%7D~%5Chfill%20%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill)
Answer: $553
Step-by-step explanation: 500(1.0016666)^60
500(1.10507451358)
552.537256789
$553
Answer:
C. The largest exponent value of the a terms is equal to the value of the exponent on the binomial. The exponent values are then equal to 0 throughout the expansion.
Step-by-step explanation:
i think tho but this makes sense
Answer:
12x+19.95=13x+9.95
19.95=x+9.95
10=x
So after 10 classes the cost will be the same
12(10)+19.95=120+19.95= $139.95
13(10)=9.95=130+9.95= $139.95
