5. D
6.G
7.B
8.J
9.C
10.F
Sorry it took time.
Answer: B. y = 1/2x - 1
Explanation:
I know someone else already answered, but I wanted to explain why the answer is B.
Consider an equation of a line in slope-intercept form: y = mx + b
Since the line intersects the y-axis at -1, that’s the y intercept, or b. We know the slope of the line is positive because it slopes upward from left to right. From each whole number solution point, the line goes up one and two to the right. Slope, represented by m, is “rise” over “run”, or the change in y over the change in x. This makes the slope 1/2.
I hope this helps.
To establish this equation we first need to assign some variables.
Let us assign x as the number of hours he has worked
and assign y as the total amount of money that he has earned
Therefore the equation y=36.50x is the equation that correctly represents how much money he makes regardless of how many hours he works. Just plug in how many hours you want for x and then solve the equation and you will get how much money he makes in x amount of hours. This is also proportional because for every hour that he works he gets the same salary of 36.50. It is proportional because no matter how many hours he works the salary will go up the same amount for each extra hour he works. The proportion is 36.50 dollars per hour worked.
1km x
------------- = ------------
1.12 mins 60 mins
1.12 x = 60
1.12x/ 1.12 = 60/ 1.12
x = (approximately) 53.57 km
8/9 - 1/5
= 5(8/9)-9(1/5)
=(40/45)-(9/45)
=31/45
therefore 31/45 of the estate would go to the American cancer society
