Mwangi wants to download songs and lectures on his smartphone. he plans to download at least 30 songs and lectures (condition a), but he can download at most 300-megabytes of data (condition b). the graph represents the constraints on the number of songs, s and lectures, l mwangi downloads. what is the greatest number of lectures mwangi can download while meeting both constraints?

the range is 19

step-by-step explanation:

the range is biggest number minus the smallest, so in this case it would be

41 - 22 = 19

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.