37 AM Sun Feb 21 Bone
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Fraction Word Problems
6
8
1
Ryan, Tony, Lonnie, and Ethan were each running a mile. Ryan ran of a mile before
stopping for water. Tony ran of a mile before stopping for water. Lonnie ran
before stopping for water, and Ethan ran of a mile before stopping. Who ran the
farthest before stopping?
a mile
2 what is the answer

answer: yes, since the line has a steeper rate of change than the exponential the y-values will be greater and they will only intersect one time.

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:

cross multiplying, we get :

⇒ (3) × (5) = (9) × (x)

⇒ 15 = 9x