We will make a table and fill it in according to the information provided. What this question is asking us to find, in the end, is how long did it take the cars to travel the same distance. In other words, how long, t, til car 1's distance = car 2's distance. The table looks like this:

d = r * t

car1

car2

We can fill in the rates right away:

d = r * t

car1 40

car2 60

Now it tells us that car 2 leaves 3 hours after car 1, so logically that means that car 1 has been driving 3 hours longer than car 2:

d = r * t

car1 40 t + 3

car2 60 t

Because distance = rate * time, the distances fill in like this:

d = r * t

car1 40(t + 3) = 40 t+3

car2 60t = 60 t

Going back to the interpretation of the original question, I am looking to solve for t when the distance of car 1 = the distance of car 2. Therefore,

40(t+3) = 60t and

40t + 120 = 60t and

120 = 20t so

t = 6 hours.

8 0

3 years ago

Which scenarios represent one quantity changing at a constant rate per unit interval relative to the other quantity?

irinina [24]

Answer:

Graphs come in all sorts of shapes and sizes. In algebra, there are 3 basic types of graphs you'll see most often: linear, quadratic, and exponential. Check out this tutorial and learn how to determine is a graph represents a linear, quadratic, or exponential function!

Step-by-step explanation:

thats all

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5 0

2 years ago