Question

A woman drives an SUV that gets 14 mi/gal (mpg). Her husband drives a hybrid that gets 65 mpg. Every week, they travel the same number of miles. They want to improve their combined mpg. They have two options on how they can improve it.
Option 1: They can tune the SUV and increase it mileage by 2 mpg and keep the hybrid as it is.

Option 2: They can buy a new hybrid that gets 85 mpg and keep the SUV as it is.

Compute the combines mpg for each option.

Option 1 Answer? : Option 2 Answer? :

(round to one decimal place as needed.

Answer 1

Answer:

Option 1 is the best one

Step-by-step explanation:

Let's call x the number of miles travelled by the woman. Then the combined miles travelled are 2*x  .

The number of gallons consumed is, for example, x/14 for the original SUV

.

The combined mpg is: combined miles travelled/combined gallons consumed. For the original case:  

$\frac{2*x}{\frac{x}{14}+\frac{x}{65}}$

$\frac{2*x}{\frac{79}{910}*x}$

$\frac{2*910}{79}$

$23 \; mpg$

Option 1:

$\frac{2*x}{\frac{x}{16}+\frac{x}{65}}$

$\frac{2*x}{\frac{81}{1040}*x}$

$\frac{2*1040}{81}$

$25.7 \; mpg$

Option 2:

$\frac{2*x}{\frac{x}{14}+\frac{x}{85}}$

$\frac{2*x}{\frac{99}{1190}*x}$

$\frac{2*1190}{99}$

$24 \; mpg$

Answer 2

You can work this problem the same way the similar problem was worked at
brainly.com/question/8725431

Option 1: 2/(1/16 +1/65) = 25.7 mpg

Option 2: 2/(1/14 +1/85) = 24.0 mpg

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As before, improving the least-efficient vehicle gives best resuls.