Question

Im so freaking confused and stupid help me

Answer 1

All of the questions are based off of this word problem:

efren leaves home at 9am and walks 4 mph. his bro greg leaves 1/2 hr later and runs 8.5 mph in the same direction as efren. predict the time at which gred will catch up to efren

Answer 2

write an expression for the distance of greg's travels per hour let h stand for time in hours!

Answer 3

write an expression for the distance efren travels per hour plus the distance he will have traveled when greg leaves the house

Answer 4

if greg runs at a speed of 8.5 mph and he runs for h hours, how far will he run?

Answer 5

i dont know

Answer 6

im really stupid no joke when it comes to math

Answer 7

you're not stupid, you just need more practice

Answer 8

say he ran for 1 hour

how far would he get?

Answer 9

8.5 miles?

Answer 10

good, in 2 hours he will go ____ miles

Answer 11

17

Answer 12

how did you get that

Answer 13

8.5 x 2

Answer 14

so in 3 hours, he will run 8.5 x 3 = 25.5 miles

so in 4 hours, he will run 8.5 x 4 = 34 miles

....

in general...

if he runs h hours (some unknown amount of hours), then he will run 8.5 x h or just 8.5h miles

Answer 15

so if d = distance traveled, then

d = 8.5h

Answer 16

oh okay so it says write an expression but im confused on how to write one

Answer 17

ok so you'll just write 8.5h

Answer 18

8.5h is the expression

d = 8.5h is the equation

Answer 19

what about the other expression i have to write for efren

Answer 20

keep in mind that greg started 1/2 hour later than efren

Answer 21

so you have to account for that

Answer 22

oh & it says plus the distance he wil he will have traveled when greg leaves

Answer 23

let's assume they both start at the same time (9:30 am)

if efren walks at 4 mph and he does this for h hours, then he will walk a total of 4h miles

Answer 24

so would it be greg leaving at 9:30??

Answer 25

but this isn't the whole story because efren leaves at 9:00 am instead of 9:30 am

so he's got a 1/2 hr head start

Answer 26

okay

Answer 27

but i dont know what the distance formula is either thats one of the questions

Answer 28

so you have to add in the fact that he walked some additional distance in that half hour where he got the head start

if he walked 0.5 hours (1/2 hr) at a speed of 4 mph, then he would have walked 4*0.5 = 2 miles

Answer 29

distance formula:

distance = rate x time

d = r x t

d = rt

Answer 30

rate is known as speed

Answer 31

oh yeah i remember that lol

Answer 32

so he walked 2 miles??

Answer 33

yes in that half hour where he got the head start

Answer 34

so he walked 2 miles in the first half hour

then he walked an additional 4h miles after 9:30 am

Answer 35

in total, efren walked 2+4h or 4h + 2 miles

Answer 36

so what expression would be for efren plus the distance he would of traveled when greg left

Answer 37

4h + 2

Answer 38

4h is the amount he traveled when greg left

2 is the amount he traveled when greg was still at home

Answer 39

oh i see, sorry ive been up all night doing this and im annoyed and fed up :(

Answer 40

thats ok

Answer 41

to find out when the two will meet, you just set the two expressions equal to one another

Answer 42

8.5h = 4h + 2

and solve for h

Answer 43

so the next question is weird it says write an equation setting the distance expressions in steps 3 and 4 equal

Answer 44

yep you want to find out when the two will walk the same distance (ie find out when/where the two will meet)

Answer 45

could you help me figure that out ill try to do most my self

Answer 46

well you see how i got 8.5h = 4h + 2 right?

Answer 47

yup!

Answer 48

you added the time he waited to the expression

Answer 49

ok great, subtract 4h from both sides

8.5h = 4h + 2

8.5h - 4h = 2

4.5h = 2

what's next?

Answer 50

4.5 = 2 - 2 ?

Answer 51

4.5h is the same as 4.5 x h

Answer 52

how do you undo multiplication

Answer 53

OH! :) I know!!
4.5h/4.5 2/4.5

Answer 54

you divide 2 by 4.5

Answer 55

am i right?

Answer 56

you are correct

Answer 57

so h = ??

Answer 58

2/4.5 = ?

Answer 59

h = 0.4 repeating (so line over the 4)

Answer 60

so that's the rough approximation of how many hours it will take (after 9:30) for the two to meet

Answer 61

and for the two to travel the same distance

Answer 62

convert to minutes to get:

0.444*60 = 26.64

so it will take about 26.64 minutes

Answer 63

thank you very much for helping me i wish i was as smart as you i struggle just to keep my B- average

Answer 64

I'm sure you'll do fine, just keep your head up and keep practicing

Answer 65

thank you jim have a nice day!

Answer 66

you're welcome

Answer 67

you too