What is the slope for 5 miles every 6 hours

Let variable x represents time and variable y represents distance on the coordinate plane.

The initial position is at x=0 hours and y=0 miles. The end position is at x=6 hours and y=5 miles. Then you get two points on the line with coordinates (0,0) and (6,5).

The slope can be calculated using formula

Thus, in your case

the slope is

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950