The thompson family is traveling 1,500 miles to visit relatives. they plan to drive the same distance each day. if the thompsons make the trip in 3 days, how far will they drive each day

they will drive 500 miles each day.

Step-by-step explanation:

The Thompson family is traveling 1,500 miles to visit relatives. They plan to drive the same distance each day.

Let x represent the distance that they travel each day. If the Thompsons make the trip in 3 days, it means that the total distance that they travelled in 3 days would be

3 × x = 3x miles

Therefore , the distance that they will drive each day would be

3x = 1500

Dividing both sides of the equation by 3, it becomes

3x/3 = 1500/3

x = 500 miles

15.5

step-by-step explanation:

5

∑

n = 1

substitute n = 1, 2, 3, 4, 5 and sum the terms

= + + + 2² + 2³

= 0.5 + 1 + 2 + 4 + 8

= 15.5

d

step-by-step explanation:

by observation, we can see that the the graph is simply the graph of y = |x| that has been shifted 4 units downwards and 3 units to the left.

we can recognize in choice d :

y = | x + 3 |   - 4 (rewriting in general form)

y = | x - (- 3) |   - 4

the "-4 " term means   that the graph has been shifted by 4 units in the negative y direction

the "-3 " term means   that the graph has been shifted by 3 units in the negative x direction

this matches our observation of the graph described above.