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igor_vitrenko [27]

3 years ago

15

A car rental company offers two options. option a is $25 per day plus $0.11 per mile. option b is $12 per day plus $0.36 per mil

e. if a car is rented for one day, for how many miles will option b be cheaper

1 answer:

AVprozaik [17]3 years ago

6 0

25+0.11n>12+0.36n
13>0.25n
n<52
Option b will cheaper then quantity of miles less than 52 miles.

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Olegator [25]

Answer:

Option A.

Step-by-step explanation:

Consider the below figure attached with this question.

Scenario 1 represented by the graph.

From the graph it is clear that the line passes through the points (1,60) and (2,120).

Slope of the line is

$y=\dfrac{y_2-y_1}{x_2-x_1}$

$y=\dfrac{120-60}{2-1}=60$

The slope of line is 60. It means the speed is 60 miles per hour.

Scenario 2 defined by the equation,

$y=50x$

If an equation defined as $y=mx+b$ , then m is slope and b is y-intercept.

$m=50$

The slope of line is 50. It means the speed is 50 miles per hour.

The slope of Scenario 1 is greater than slope of Scenario 2. So, the Scenario 1 shows the greater speed.

Hence, the correct option is A.

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