The speed limit is 70 mph. Express this as an inequality.

The time will be at least 1.5 hours

Step-by-step explanation:

Data:

s = Maximum permitted speed ≤ 70 miles per hour

d = distance = 105 miles

t =?

Formula:

s ≤ d / t

By isolating the variable "t" we change the sign of inequality.

T ≥ = d / s

In this case, it is an inequality to know the minimum time (at least equivalent to the sign "≥") that will take you to travel the given distance. We know that it is the minimum time (≥) because the allowed speed is the maximum (speed is inversely proportional to time).

T ≥ d / s

T ≥ 105 miles / 70 miles per hour

T ≥ 1.5 hours

Therefore, the time will be at least 1.5 hours .

Hope this helps!

2

step-by-step explanation:

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.