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1. Which of the following functions could match the graph shown below?

a. f(x)= 2x


b. f(x) = 2 + x


c. f(x) = x + 0.5


d. f(x) = 0.5x


2. If a car travels for 200 miles at a constant rate of 70 miles per hour, which equation below can NOT be used to find the travel time?


a. 20070=t


b. 70200=t


c. 20 = 7t


d. 200 = 70t


Which of the following situations could match this formula? (There may be more than one correct answer.)


500=100x


a. An object travels 500 feet for 100 seconds.


b. An object travels at 500 miles per hour for 100 hours.


c. An object travels 500 miles at a rate of 100 miles per hour.


d. An object travels 100 inches per minute for 500 minutes.

1 Which of the following functions could match the graph shown below a f x 2x b f x 2 x c f x x

Answer :

We want to answer different things regarding linear equations.

The answers are:

  • 1) d
  • 2) b
  • 3) a and c.

1) We want to see which function matches the given graph.

So, we can see that this is a linear function, that passes through the origin, so the y-intercept is y = 0.

We also can see that it passes through the point (2, 1).

Then we have that:

1 = a*2 + 0

1/2 = 0.5 = a

So the linear equation is:

y = 0.5*x

Here the correct option is d.

2) We know the relation:

distance = speed*time

So any permutation of these values can be used to find the time.

Then the option that can not be used to find the travel time is:

b) 70/200 = t

Because in this case, we are taking:

speed/distance = time

And that is incorrect.

3) We have the formula:

500 = 100*x

Again, using:

Distance = speed*time

The options that are correct are the ones where 500 represents a distance and the 100 represents time or speed, then the correct options are:

a and c.

If you want to learn more, you can read:

https://brainly.com/question/2263981

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