You are flying from Houston to Chicago. You leave Houston at 7:30 A. M. At 8:35 A. M. you fly over Little Rock, a distance of 455 miles. 27. Write a linear equation that gives the distance in miles, y, in terms of time, x. Let x represent the pumber of minutes since 7:30 A. M.

28. Approximately what time will you arrive in Chicago if it is 950 miles from Houston?

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For a uniform move, the traveled distance equation is

y = v*x

where "v" is the average speed (or rate), in miles per minute, x is the time, in minutes.

To find "v" from the given data, divide 455 miles by 65 minutes (the flight time between the cities)

v = 455%2F65 = 7 miles per minute.

So, finally, your equation is

y = 7x.

the answer will be

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: