Question

A student is training for the swim team during July and August one summer. She swims one hour every day, while averaging 800 meters each day. Select the graph that correctly shows the total meters swam during the time of her training program.

Graph of meters versus hours. Ray starting at point zero comma zero and passing through 24000 comma 30.
Graph of meters versus hours. Line segment between point zero comma zero and 49 comma 62.
Graph of hours versus meters. Line segment between point zero comma zero and 62 comma 49,600.
Graph of hours versus meters. Ray starting at point zero c

Answer 1

@jim_thompson5910

Answer 2

is it D?

Answer 3

@Data_Lg2

Answer 4

First you need to decide which is x and y: hours or distance? Well x is the independent and y is the opposite so... The distance depends on the number of hours they swam, right? So the distance is y and the hours (time) is x.

Answer 5

Then you can decide the points, right?

Answer 6

Next you need to decide the number of hours she swam for the x-coordinate. Well, she swam an hour every day for these two months, how many days are between July and August?

Answer 7

like 30

Answer 8

2 months? That's more like 1 month.

Answer 9

oh 60

Answer 10

Remember, July and August both have 31 days. 31 x 2 = 62.

Answer 11

yup

Answer 12

so it is D?

Answer 13

Yeah, since 62 is the hours (time) which is the x-coordinate. Don't get confused with B, that's 62 as the y-coordinate which should be distance. But yeah, you're lucky you don't have to do any more work than that.

Answer 14

Thank you

Answer 15

can you check one more ?

Answer 16

Yeah, of course. Thanks for the medal, btw

Answer 17

A student is running a 5-kilometer race. He runs 1 kilometer every 3 minutes. Select the function that describes his distance from the finish line after x minutes.

f(x) = − 1 over 3 x + 5
f(x) = − 1 over 5 x + 3
f(x) = 1 over 5 x + 5
f(x) = 1 over 3 x + 3

Answer 18

So x is the mins, right?

Answer 19

yup

Answer 20

So y is the distance, aka km?

Answer 21

ok

Answer 22

Wait, no f(x) is, one sec I haven't done these in a while sorry.

Answer 23

x is the function of y so f(x) is y

Answer 24

You still with me?

Answer 25

ohh

Answer 26

Ok, so you know y = mx + b?

Answer 27

Well f(x) is basically y so as function notation it's the same thing as f(x) = mx + b, ok?

Answer 28

ok

Answer 29

Wait, you have to get it, do you? Because I can explain. Slope-intercept form is y = mx + b where m is the slope and b is the y-intercept.

Answer 30

yes (F)x is the same as y

Answer 31

f(x)

Answer 32

you get the equation, though?

Answer 33

ok, anyway find your xs and ys, then you can find m and b which is the goal.

Answer 34

so m is the slope and b is the y intercept right.

Answer 35

@-StudyWith-

Answer 36

is it a or c?

Answer 37

one sec

Answer 38

Let's find m first. The slope. To do that, we have to have 2 points. Well we already have one: (3, 1) If you add 2 to each coordinate it is equal so... (5, 3). There, two points.

Answer 39

You know the slope formula? y2 - y- / x2 - x1

Answer 40

Pick 2 ys and 2 xs but keep which one is 1 and 2 consistent.

Answer 41

Listen I gotta go but I'll explain it real quick.

Answer 42

We have (3, 1) and (5, 3). y1 = 1 and y2= 3. x1 = 3 and x2 = 5.

3-1/5-3= 2/2= 1 so our m is 1. so far we have f(x) = (1)x + b

Answer 43

you pick 2 random coordinates for each y and x

Answer 44

1,1 3,3

Answer 45

But it's from the finish line. So 1/5, right, 1 out of 5km in total?

Answer 46

Anyway, the correct answer is:
f(x)=5−1/3x

Answer 47

so a

Answer 48

Because it's 1 km per 3 mins, and yes. I gtg sorry can't explain more.

Answer 49

thanks

Answer 50

It's negative because it's getting closer to the finish line each minute so distance is being taken away, make sense? And np.

Answer 51

Nevermind!