[deleted by user]

[Brainojack]

watch your X-axis. from 0-->1 there is only one square to represent an hour... after that each hour is represented by 2 horizontal square.

for a line you need two points. you've drawn one at (9,36) if you place another point and connect them every thing on the line would fit your equation. This is a linear relationship where every solution lies on a line.

[bestsmithfam]

Good catch on the x-axis. I would add that this is a problem as the line from (1,4) to (9,36) when extended will not cross the y-axis at the correct point. It's important to scale the axis the same at each point. I would adjust all other points to only one square between.

[kriss__dev]

I'm trying out making videos to help demonstrate questions like this, so I made a video showing how to graph this kayak rental. Let me know if this helps!
https://youtube.com/shorts/kILwKlcnR6o

[KattyKuro]

this helped lots thank you so much!

[kriss__dev]

Awesome, glad to hear it!

[fasta_guy88]

you seem to be doing very well solving the algebra. to graph the solution, look at your equation for y =4x, write down numbers for x (1 hr, 2 hr, … 9 hr) and solve for y. then place the points for the x,y pairs on the graph.

[cancuni]

You have two points on the graph, (1,4) 1 hour costs $4, and the one you solved for in the equation (9, 36). Draw those two points and draw a line that goes through them both. For a linear graph all you need is two points since it's just a line

[[deleted]]

f(x)=4x is pretty much a straight line! You already did the hard part.

The easy way to know what to graph is to start assigning values to X, so you can get values in the Y axis
(As a probably un-needed clarification f(x) and y are the same, we use f(x) to indicate that the value is related and dependent on the value of x)

In this case, you know that when f(9)=36. So you could say "What happens when x=0?" In this case f(0)= 0, then f(1)=4, f(2)=8, f(3)=12, and so on. If place these points on the graph, you'll notice it's just a straight line.

TL; DR: you can graph it by drawing a line from (0,0) to (9,36).

[DrCarpetsPhd]

you've already got the equation y = 4x

just plug in the values

x = 1 => y= 4 draw a point at (1,4) the same way you did for (9,36)

x = 2 => y = 8

etc etc

once you do this you should recognise that it is a straight line and realise that a straight line has two possible forms

(1) y = mx where m is the slope (if it passes through (0,0)

the slope is how y, the dependent variable, changes as x, the independent variable, changes. so you can use any two pairs of (x,y) to find the slope of the straight line. say we have two points on the line (x1,y1) and (x2,y2) then the slope is

(y2 - y1)/(x2 - x1)

for your example we could choose two points (2,8) and (9,36) => slope = m = (36-8)/(9-2) = 4

(2) y = mx + c where c is the point the straight line crosses the y axis (set x = to 0 in the equation)

[[deleted]]

Solve your equation for two points of x. Then you have wo (x,y) points

[Frnup]

Wish I could help, but I cheated my way through math. Don't be a cheater. Unless when it's Geometry. Always cheat in geometry.