You decide to rent a scooter to tour downtown Orlando on Monday. The rental company offers you two options. Option A is to pay a $10 fee for the day and $0.50 per mile driven. Option B is to pay a $27.50 fee, but you have unlimited mileage included (so you don't have to pay anything additional for the miles you put on the scooter.) Write an inequality that expresses when Option B would be cheaper. A. Option A is always cheaper. B. B(s) > 35 C. B(s) ≤ 35 D. B(s) = 17.50

Let's write the costs for each option:

Option A: $10 fee for the day, plus $0.50 per mile driven.

Then if you drive x miles, the cost will be:

Ca(x) = $10 + $0.50*x

Option B: this is a fixed $27.50

Cb(x) = $27.50

(notice that cost b does not depend on x)

Now we can find the value of x such that bot costs are equal:

Cb(x) = Ca(x)

$27.50 = $10 + $0.50*x

$27.50 - $10 = $0.50*x

$17.50/$0.50 = x

35 = x

Then if you drive exactly 35 miles, the cost of both options will be the same ($27.50).

Now, if you drive less than 35 miles, the option A wil be cheaper, because the y-intercept is smaller.

If you drive more than 35 miles, option B will be cheaper, because the slope is smaller.

Then the solution is:

Option B is cheaper for more than 35 miles (and the same for exactly 35 miles)

So the correct option is option B, for x > 35 miles, option B is cheaper.

(in the options there is the notation B(s) > 35) i interpret that this means "more than 35 miles"

the results from a pre-test for students for the year 2000 and the year 2010 are illustrated in the box plot. what do these results tell us about how students performed on the 29 question pre-test for the two years?

if we compare only the lowest and highest scores between the two years, we might conclude that the students in 2010 did better than the students in 2010. this conclusion seems to follow since the lowest score of 8 in 2010 is greater in value than the lowest score of 6 in 2000. also, the highest score of 28 in 2010 is greater in value than the highest score of 27 in 2000.

but the box portion of the illustration gives us more detailed information. the middle bar in each box shows us that the median score of 20 in 2000 is greater in value than the median score of 17 in 2010. further, we note that the box and whiskers divide the illustration into four pieces. each of these four pieces represents the same portion of students. so, the upper half of the students in 2000 scored in the same score range as the upper one-fourth of the students in 2010, see the illustration at a score of 20.

by considering the upper one-fourth, upper half, and upper three-fourths instead of just the lowest and highest scores, we would conclude that the students as a whole did much better in 2000 than in 2010. we would conclude that as a whole the students in 2010 are less prepared than the students in 2000.

in this section, we discuss box-and-whisker plots and the five key values used in constructing a box-and-whisker plot. the key values are called a five-number summary, which consists of the minimum, first quartile, median, third quartile, and maximum.

step-by-step explanation: