Question

A man burns 10 calories per minute mountain climbing biking and 7.5 calories per minute in-line skating.His goal is to burn approximately 420 calories daily. Find the intercepts of the graph of the equation

Answer 1

Anyone have any ideas?

Answer 2

Are you having issues finding the equations to graph or the graph itself?

Answer 3

both

Answer 4

Okie dokie, so we have to find the equations first. He burns 10x calories for mountain biking (let x = number of minutes) and 7.5x for inline

Answer 5

okay im listening...or readingg...

Answer 6

Hmmm... it doesn't seem like they are going to intercept. Sorry, hang on. It's been awhile since I've done a problem like this. I'm going to find my old notes

Answer 7

okay thanks i'll wait xD

Answer 8

A man burns 10 calories per minute mountain climbing biking and 7.5 calories per minute in-line skating.His goal is to burn approximately 420 calories daily. Find the intercepts of the graph of the equation


[(1, 10), (1, 7.5)] Plug those into the equation y - y1 = m(x - x1)

Answer 9

Actually, first yo want to find the slope using the equation.

m=(y2-y1)/(x2-x1) plug in the coordinates: [(1, 10), (1, 7.5)]

Then plug [(1, 10), (1, 7.5)] and the newly found slope into: y - y1 = m(x - x1)


Then put the equation in y = mx + b

Answer 10

I don't think it can be solved that way... 10 and 7.5 aren't on the same line... Or am I looking at it wrong still?

Answer 11

uuuuuhh! i honestly have no cllue

Answer 12

Okay, I think Compassionate has the right idea, but 10 and 7.5 will the the slopes because that's how many calories they burn per minute.

Answer 13

Are you sure there isn't more to the equation? because I'm only seeing them intersect at (0,0)

Answer 14

well there's a question before it saying "Write an equation to represent the situation" so I am guessing we are suppose to make an equation first

Answer 15

Okay, that's going to be y=10x and y=7.5x with y being the number of calories burned and x being the number of minutes

Answer 16

No, the slope is found by using the two points above.

Answer 17

m=(y2-y1)/(x2-x1) plug in the coordinates: [(1, 10), (1, 7.5)] to get your slope.

Answer 18

But they aren't on the same line?

Answer 19

For the slope I got 0

Answer 20

He needs the intercept of the two lines and the values @Compassionate gave would give an undefined slope since you cannot divide by 0

Answer 21

look this is the hw,its number 7

Answer 22

@satellite73 can you help us with this? We are having trouble

Answer 23

i think he/she is offline

Answer 24

@CanadianAsian can you help us please?

Answer 25

ugh, they were just online. @saifoo.khan can you maybe help us?

Answer 26

Okay... Lets try to work this through step by step... did you already figure out which is the independent and which is the dependent variable?

Answer 27

Yes,the independent variable are the minutes.The dependent variable are the calories

Answer 28

Okay so x will be minutes and y will be calories (part of this I'm typing out for my own sake)

Answer 29

part two makes it sound like there is only one equation they are looking for...

Answer 30

...

\[ \begin{array}l\color{red}{\text{(}}\color{red}{\text{U}}\color{red}{\text{S}}\color{red}{\text{E}}\color{red}{\text{R}}\color{red}{\text{ }}\color{red}{\text{W}}\color{red}{\text{A}}\color{red}{\text{S}}\color{red}{\text{ }}\color{red}{\text{B}}\color{red}{\text{A}}\color{red}{\text{N}}\color{red}{\text{N}}\color{red}{\text{E}}\color{red}{\text{D}}\color{red}{\text{ }}\color{red}{\text{F}}\color{red}{\text{O}}\color{red}{\text{R}}\color{red}{\text{ }}\color{red}{\text{T}}\color{red}{\text{H}}\color{red}{\text{I}}\color{red}{\text{S}}\color{red}{\text{ }}\color{red}{\text{P}}\color{red}{\text{O}}\color{red}{\text{S}}\color{red}{\text{T}}\color{red}{\text{)}}\color{red}{\text{}}\end{array} \]

Answer 31

Yeah,that's what I got mostly confused on.I put that maybe it could be 10x+7.5y=420 idk

Answer 32

Yeah, but that doesn't make sense though... That would be saying that 10* minutes + 7.5 * calories would equal 420 calories...

Answer 33

Yeah that's true.

Answer 34

Oh... they want the x and y intercepts of the equation. not where they intersect. That changes a lot. I'm a moron sometimes :P We still have to figure out the equation

Answer 35

Lets try 10x +7.5x = y

Answer 36

Haha no your not xD then we would be left with 17.5=7

Answer 37

i mean 17.5=y

Answer 38

17.5x=y yes

Answer 39

17.5x=y there we go!

Answer 40

I'm still not convinced though... The intercepts will be x = 0 and y = 0 meaning that if he doesn't work out, he won't burn any calories...

I'm not convinced because the equation we came up with implies that he is biking and inline skating at the same time.

Answer 41

hmmm... give me a minute. I won't leave you until we figure this out. Promise :)

Answer 42

ugh! i hate algebra!! -.-

Answer 43

I usually don't have a problem with it... Maybe it's just because it's been a really long day. We will get this :)

Answer 44

Maybe if we work backwards... If he inline skated for 30 minutes, he burned 30 * 7.5 calories, right?

Answer 45

making it 225, then 420 - 225 = 195 calories left meaning he biked 19.5 minutes (195/10)

Answer 46

Yeah true! but idk somehow it just still doesnt seem quite right

Answer 47

ohhh i think i got something.

Answer 48

If we do an input/output table, then we get: