The cost of any soda from a soda machine is $0.50. The graph representing this relationship is shown below. Soda machine...
Total Cost...
Number of Sodas

What is the slope of the line that models this relationship?

The slope of the line that models this relationship is 0.50 US dollars per soda.

Step-by-step explanation:

At first we suppose the existence of a linear relationship between total cost (), measured in US dollars, and the number of sodas (), measured in sodas, that is:

(1)

If we know that and , then the slop of the line is:

The slope of the line that models this relationship is 0.50 US dollars per soda.

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.

answer: 1722

step-by-step explanation:

given: the mass of saturn=

the mass of mercury=

the number of times the mass of saturn is greater than the mass of mercury

hence, the mass of saturn is 1722 times greater than the mass of mercury.