Question

A boat rental company recommends a boat that can go 402 miles on LaTeX: \frac{23}{2}23 2 gallons of gasoline. However there are other boats available that have better fuel efficiency. Their rates miles to gallons are listed. Select the rates that have better miles per gallon than the recommended boat.

Answer 1

Answer:

See Explanation

Step-by-step explanation:

Given

$Distance = 402\ miles$

$Gasoline = 23/2\ gallons$

Required

Determine boats with better rates

This question requires options which are missing. However, I'll give an explanation on how to determine the right answers.

First, determine the rate of the given boat by dividing distance by amount of gasoline.

$Rate = Distance/Gasoline$

$Rate = 402\ miles / \frac{23}{2}\ gallons$

$Rate = 402\ miles * \frac{2}{23\ gallons}$

$Rate = \frac{402\ miles * 2}{23\ gallons}$

$Rate = \frac{804\ miles}{23\ gallons}$

$Rate = 34.96\ miles/gallon$

For the list of mission options, calculate the rate using the same formula used above... then compare the results.

Take for instance, we have a boat with:

$Distance = 500\ miles$

$Gasoline = 10\ gallons$

Rate would be:

$Rate = 500\ miles/10\ gallons$

$Rate = 50\ miles/gallons$

By comparing these rates, we have that:

$50 > 34.96$

So, this new boat has a better rate than the given boat.

Apply this on the missing options