You can determine whether a graph is a function or not if it’s points create a straight , consistent line. there will be no curves or intersecting lines on the graph.
You have that situation with ANY base that's less than ' 1 '.
Examples:
(0.9)² = 0.81 (90% of the base)
(7/8)² = 0.765625 (87.5% of the base)
(1/2)² = 1/4 (50% of the base)
(0.1)² = 0.01 (10% of the base)
Each of these results is less than the base, and with
higher positive powers, they keep getting smaller.
Answer:
Carter family = 25 hours
Davis family = 31 hours
Step-by-step explanation:
Let's say the number of hours the Carter family used their sprinkler is x and the number of hours the Davis family used their sprinkler for is y.
So combined:
x + y = 45 hours
and we are also told that:
40x + 15y = 1300 L
So we can do simultaneous equations to solve the problem.
With some rearranging, we can figure out that:
y= 45 - x
and by substituting that into the second equation:
40x + 15 (45 -x) = 40x + 675 - 15x = 1300L
25x = 1300 - 675
25x = 625
x = 25 = hours that the Carter family used their sprinkler
and we can substitute that back into the original equation to find how many hours the Davis family used their sprinkler so:
25 + y = 56
y = 31
The Davis family used their sprinkler for 31 hours whilst the Carter family used their sprinkler for 25 hours.
- 2x - 11 = - 25 :) hope this is ok