Question

A bike rental company charges $50 for the first hour, and $25 for each additional hour. Michael must spend no more than $200 on his bike rental for the day. What is the maximum number of hours that Michael can rent a bike?

A)3 hours
B)4 hours
C)5 hours
D)7 hours

Answer 1

please help )):

Answer 2

someone help

Answer 3

Let x = number of hours (after that initial hour) and y = total cost

so if "A bike rental company charges $50 for the first hour, and $25 for each additional hour.", then

y = 25x + 50

-----------------------

We're told that "Michael must spend no more than $200", so y <= 200


y <= 200

25x + 50 <= 200

25x <= 200-50

25x <= 150

x <= 150/25

x <= 6

So the max number of hours after that first hour is 6

Add on the first hour to get 6+1 = 7

So the max number of hours total he can rent the bike is 7 hours.

Answer 4

thank you!

Answer 5

mind helping me with another

Answer 6

Another way to look at it

First hour = $50

Second hour = 50 + 25 = 75

third hour = 50 + 25 + 25 = 100

etc etc

til you get to

seventh hour = 50 + 6*25 = 200

Answer 7

sure go for it

Answer 8

Mr. Harrow has eight boys and six girls in his Honors Precalculus class. If he randomly chooses two students, one at a time, what is the probability that they are both girls?

A)11/14
B)15/91
C)15/98
D)74/91

Answer 9

P(2 girls) = P(girl and girl)

P(2 girls) = P(girl) * P(girl)

P(2 girls) = (6/14) * (5/13)

P(2 girls) = 30/182

P(2 girls) = 15/91

Answer 10

thanks so much.

Answer 11

last one

Answer 12

A line passes through the point (2, 3) and has a slope of -2. Which is the equation of the line in point-slope form?

A) 2x + y = 7
B) y = -2x + 7
C) y - 3 = -2(x - 2)
D) y = -1/2x + 5

Answer 13

y - y1 = m(x - x1)

y - y1 = -2(x - x1) ... plug in m = -2

y - 3 = -2(x - 2) ... plug in (x1,y1) = (2,3)

Answer 14

thanks so much

Answer 15

yw

Answer 16

wait come back

Answer 17

what's wrong

Answer 18

There are 3 white marbles and 7 blue marbles in a bag. Jamie will randomly pick two marbles out of the bag without replacing the first marble chosen. What is the probability of Jamie's picking 2 white marbles?
A)1/15
B)1/18
C)1/20
D)1/7

Answer 19

P(2 white) = P(white and white)


P(2 white) = P(white) * P(white)


P(2 white) = (3/10) * (2/9)


I'll let you finish.

Answer 20

1/15?

Answer 21

yep

Answer 22

Which choice represents the best rational approximation for
11?
A)1/2
B)11/5
C)17/7
D)5/2

Answer 23

what even is a rational approximation? my teacher hasent even talked about this

Answer 24

11 or \(\sqrt{11}\) ???

Answer 25

something is missing

Answer 26

3\[3\sqrt11\]

Answer 27

not just 11, its 3 square root sign 11 ^^

Answer 28

so it's \[\Large \sqrt[3]{11}\]

Answer 29

yes

Answer 30

\[\Large \sqrt[3]{11} \approx 2.2239\] which is close to 2.2

2.2 = 2 + 0.2

2.2 = 2 + 1/5

2.2 = 10/5 + 1/5

2.2 = 11/5

So \[\Large \sqrt[3]{11} \approx \frac{11}{5}\]

Answer 31

thank you