Answer:
A
Step-by-step explanation:
For point-slope form, you need a point and the slope.
y - y₁ = m(x - x₁)
Looking at the graph, the points you have are (4, 0) and (-4, -4). You can use these points to find the slope. Divide the difference of the y's by the difference of the x's/
-4 - 0 = -4
-4 - 4 = -8
-4/-8 = 1/2
The slope is 1/2. This cancels out choices C and D.
With the point (-4, -4), A is the answer.
Answer:
<em>A: 960d = 52000 + 680d</em>
<em>B: It will take 137 days to start making a profit.</em>
Step-by-step explanation:
Part A:
She begins to make a profit when the income becomes greater than the expenses. You can write an inequality or an equation. I'll write an equation that finds when the income equals the expenses. After this point, she will begin making a profit.
income = expenses
income: the combined amount all students pay
All students pay a total of $960 per day. In d days, they pay 960d.
Total income: 960d
expenses: the original fixed amount plus the daily cost
The original fixed amount is $52,000. The daily cost is $680, so in d days, she spends 680d
Total expenses: 52000 + 680d
income = expenses
The equation is:
960d = 52000 + 680d
Part B:
Subtract 580d from both sides.
380d = 52000
Divide both sides by 380.
d = 136.84
The number of days is 136.84, or just under 137 days.
It will take 137 days to start making a profit.
Answer:
Step-by-step explanation:
Interesting bit of trivia if true.
The central Pacific Railway had a 24 month head start. Each month let them go 8.75 miles, so the total distance the rail went was 24*8;75 = 210 miles. They built this before the Union Pacific had done 1 mile of track.
So now when the Union Pacific started building, there remained 1590 - 210 miles of track to be laid. 1590 - 210 = 1380 miles of track.
The rest is pretty straight forward. Between the two rail companies, they built 28.75 miles of track a month.
Therefore the number of months = 1380/28.75 = 48 months.
The project took (in total) 48 + 24 = 72 months to build.
The Union Pacific built 48 * 20 = 960 miles of rail
The Central Pacific built 72 * 8.75 = 630 miles of rail
Total distance = 1590 miles which is the stated total.
Answers
Total Time = 72 months.
Union Pacific distance built = 960 miles
Central Pacific distance built = 630 miles
Answer:
H=8
Step-by-step explanation:
152/19=8