Problem PageQuestion
For parts (a) and (b) below, choose the correct description.
Fill in the blanks as necessary.

(a) A train travels from City A to City B. The table below shows the distance and the amount of time it takes on the train.
Distance (km)
Time (in minutes)
The train does not always go the same distance each minute.

The train appears to go the same distance each minute.

Predicted distance traveled in 8 minutes:
(b) Greg is deciding how many people to take to the movies. The table below shows the cost for different sized groups of people.
Number in group
Cost (in dollars)
The cost for each person is not always the same.

The cost for each person appears to be the same.

Predicted number in group for a cost of $63:

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!

"image"

step-by-step explanation:

in most of these problems, the notation is that the point with a "prime" is the image of the point without. that is, b' is the image of b.

here, there is no dilation or reflection. there is simply translation (with no direction shown). which figure you call the "preimage" and which one you call the "image" is up to you. as a matter of convention, the naming is as described above.