Question

Sam is observing the velocity of a car at different times. After three hours, the velocity of the car is 53 km/h. After six hours, the velocity of the car is 62 km/h.

Part A: Write an equation in two variables in the standard form that can be used to describe the velocity of the car at different times. Show your work and define the variables used.

Part B: How can you graph the equation obtained in Part A for the first seven hours?

Answer 1

I guess they want you to assume that this graph should be a straight line?

Answer 2

^ that's a vague way of asking: Is this Algebra or Calculus?

Answer 3

algebra and I believe this is meant as an exponential function.

Answer 4

oh no, nevermind. I guess it is a linear function.

Answer 5

Could someone possibly help me please? Thanks.

Answer 6

I haven't done math in a long while, sorry ^_^"

They have given you two points: (3, 53) and (6, 62)
you see that? :)

Answer 7

Its fine.

Yes I see.

Answer 8

If it's just a linear function, you can try putting it in "slope intercept form" first
where \(y = mx + b\)
where \(m\) = slope
and \(b\) = y-intercept

do you know how to do this? :)

Answer 9

No worries, we can take this in smaller steps ^_^

They want us to get an equation.
We have two points

To get this equation, we first need to find the slope

do you know how to find the slope between two points? :)

Answer 10

\[slope = \frac{ y_2 - y_1 }{ x_2 - x_1 }\]when given two points \( (x_1 , y_1) \) and \( (x_2 , y_2 ) \)

so try plugging in
\(x_1 = 3\)
\( y_1 = 53 \)
\( x_2 = 6 \)
\( y_2 = 62 \)

Answer 11

So sorry. My internet keeps going down.

Answer 12

My internet went down then I took a power outage so I am now locked out of the test unfortunately.

Answer 13

Thanks for the help though.