1. Priya jogs at a constant speed. The relationship between her distance and time is shown on the graph. Diego bikes at a constant speed twice as fast as Priya.
Sketch a graph showing the relationship between Diego's distance and time.

Step-by-step explanation:

Relationship between distance the distance and time for Priya has been given  in the graph.

Therefore, slope of the line on the graph will represent the speed of jog of Priya.

Slope =

Where and are the points lying on the line.

Since, (0, 0) and (0.4, 2) are lying on the line.

Therefore, slope or speed of the line will be,

Speed =

           = 5

Now Diego bikes at a speed twice as fast as Priya,

So Diego's speed = 5×2 = 10 mile per hour

Therefore, slope of the line for Diego on graph will be,

m = 10

Line passing through origin and slope = 10 will be,

y = 10x

Points representing Diego's speed will be,

x      0      0.1       0.2     0.3     0.4     0.5

y      0        1          2        3        4         5

Now we can graph these points to get the line.

the 3rd option is right

step-by-step explanation:

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2