Answer:
2
Step-by-step explanation:
We have two points so we can find the slope
m = ( y2-y1)/(x2-x1)
= ( -11 - -1)/( 4 -9)
= (-11+1)/( 4-9)
-10/ -5
= 2
Answer:
$22.95/hour.
Step-by-step explanation:
It is given that the average wage for an electrician in CA is $25.47/hour. That is 11% above the national average.
Let as consider x be the national average.
11% above the national average is
The average wage for an electrician in CA is 11% above the national average. So,
Divide both sides by 1.11.
Therefore, the national average is $22.95/hour.
Answer:
The common difference is same = d = -9
Therefore, the data represent a linear function.
Step-by-step explanation:
Given the table
x y
1 4
2 -5
3 -14
4 -23
5 -32
Finding the common difference between all the adjacent terms of y-values
d = -5 - 4 = -6,
d = -14 - (-5) = -14+5 = -9
d = -23 - (-14) = -23 + 14 = -9
d = -32 - (-23) = -32 + 23 = -9
It is clear that the common difference between all the adjacent terms is same.
Thus,
d = -9
We know that when y varies directly with x, the function is a linear function.
Here, it is clear that each x value varies 1 unit, and each y value varies -9 units.
i.e. The common difference is same = d = -9
Therefore, the data represent a linear function.
The best way to solve this one is with a proportion:
(15 steps) / (5 minutes) = (75 steps) / ('x' minutes)
Cross-multiply the proportion: 15 x = 5 x 75
Divide each side by 15 : x = 5 x 5 = <em>25 minutes</em>.
You are correct, and Paul walks very slowly.
