All categories

2 years ago

The fare for a taxi cab is $2.50 per passenger and $0.75 for each mile. A group of friends has $22.00

Mathematics

1 answer:

xeze [42]2 years ago

7 0

For this case we have to:

x: Let the variable representing the number of people to travel in the group

y: Let the variable representing the number of miles traveled.

If friends only have $22 then we have the following inequality:

$2.50x + 0.75y \leq22$

Now, if there are three people in the group we have that $x = 3.$

$2.50 (3) + 0.75y \leq22\\7.5 + 0.75y \leq22\\0.75y \leq22-7.5\\0.75y \leq14.5\\y\leq \frac {14.5} {0.75}\\y\leq19.33$

The taxi can travel a maximum of 19.33 miles.

On the other hand, if the group wants to travel 10 miles then we have to y = 10.

$2.50x + 0.75 (10) \leq22\\2.50x + 7.5 \leq22\\2.50x \leq22-7.5\\2.50x \leq14.5\\x\leq \frac {14.5} {2.50}\\x \leq5.8$

Thus, they could travel a maximum of 5 people.

ANswer:

$2.50x + 0.75y \leq22$

Traveling 3 people, the taxi can travel a maximum of 19.33 miles

Traveling 10 miles, a maximum of 5 people can travel

You might be interested in

Carmen worked more than 40 hours last week and earned $352.95. Her regular hourly pay rate is $7.80. After 40 hours, she is paid

posledela

She worked 50.5 hours last week.

7.80x40=312

352.95-312=40.95

40.95/4.90=10.5

10.5+40=50.5

4 0

2 years ago

Read 2 more answers

The sum of x and 10 is less than -6

goldenfox [79]

Try breaking these into sections.

Twice: 2 times

The sum of: add

A number: choose a variable, like x

---Thus "the sum of a number and 4" becomes "add x and 4" which, mathematically, is "x+4"

-----Continuing to put it all together, "Twice the sum of a number and four" becomes "2 times (x+4)" which, mathematically, is "2(x+4)"

Is: equals

-------"Twice the sum of a number and four is" becomes "2(x+4)="

23 less than: subtract 23. This one tends to trick people; "23 less than" will become "__ - 23", NOT "23 - __"

three times the number: 3 times x

---"23 less than three times the number" becomes "subtract 23 from 3 times x" which, mathematically, is "3x-23"

-------So the final phrase: 2(x+4)=3x-23"

6 0

2 years ago

What can be concluded about the line represented in the table? Check all that apply. x y –6 –7 2 –3 8 0 The slope is 2. The slop

Stels [109]

The first thing we must do for this case is to find the equation of the line.
$y-yo = m (x-xo)
$
We have then:
$m = (y2 - y1) / (x2-x1)

m = (-3 - 0) / (2-8)

m = 1/2$
We choose an ordered pair:
$(xo, yo) = (8, 0)
$
Substituting values:
$y-0 = (1/2) (x-8)

y = (1/2) x - 4$

From here we conclude:

Intersection with y:
We evaluate x = 0 in the function:
$y = (1/2) (0) - 4

y = -4$

Slope of the line:
$m = 1/2
$

Point (-2, -5):
We evaluate the value of x = -2 and the value of y = -5
$-5 = (1/2) (- 2) - 4

-5 = -1 - 4

-5 = - 5$
The equation is satisfied.

Point (8, 0):
It is part of the table, therefore belongs to the line.

Answer:
The slope is 1/2
The y-intercept is -4.
The points (-2, -5) and (8, 0) are also on the line.

7 0

2 years ago

Read 2 more answers

One month Leila rented 3 movies and 2 video games for a total of $21 . The next month she rented 8 movies and 4 video games for

lina2011 [118]

<span>x = price movie = 4.25
y = price game = 5.50</span>

7 0

2 years ago

Find the unknown length x in the right triangle, to the nearest tenth.<br> 16<br> 21

PIT_PIT [208]

Answer:

16 rounded to the nearest 10 is 20