The equation between the number of days remaining and number of hours is given as y= -5x+50.
<h3>How to illustrate the equation?</h3>
Let y be the number of days remaining and x be the no.of hours.
From the graph the slope of the line is given by m.
m=(y2 - y1)/(x2 - x1)
m=(30 - 40)/(4 - 2)
m= -10/2 = -5.
The above slope is in between points 2 and 4. As the line has a constant rate of growth the slope is the same between any points of the line.
Therefore the equation between the no.of days remaining and no.of hours is given by
y=mx +c.
y=-5x+c
Now to find the value of c. This can be determined by substituting the x and y values at a particular instant. For x=0,y=50. Therefore by these values, we get,
50= -5(0)+c
c=50.
Therefore the relation between the number of days remaining and number of hours is given as y= -5x+50.
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Answer:
Option B: 
Step-by-step explanation:
The parabola has its concavity downwards, so we need a function in the model:
With a negative value of 'a'
The vertex is (0,0), so we have that:
The x-coordinate of the vertex is given by the equation:
So we have a function in the model:
With a < 0
The only option with this format is B:
Answer:
The speed of the cyclist is 10 miles per hour .
Step-by-step explanation:
Given as :
The distance cover by cyclist = 
= 20 miles
The distance cover by biker = 
= 6 miles
The speed of biker = 
= s mph
The speed of cyclist = 
= 7 + s mph
The time taken by both cyclist and biker = t hour
Now. Distance = Speed × Time
So, = × t
Or, 20 = s × t
Or, t = 
.....1
And ,
= × t
or, 6 = s t
Or, t = 
....2
From Eq 1 and 2
I.e =
Or, 20 s = 6 ( 7 + s )
Or, 20 s - 6 s = 42
Or, 14 s = 42
∴ s = 
I,e s = 3 miles per hour
So, The speed of biker = = s = 3 miles per hour
And The speed of cyclist = = 7 + s = 7 + 3= 10 miles per hour
Hence The speed of the cyclist is 10 miles per hour . Answer
Answer: $638.40
Step-by-step explanation:
45% converted to a decimal is 0.45
0.45 of $1200 = 0.45* $1200 (of in this case means multiply)
0.45 * $1200= $440
Because they said 11% of remaining salary, we have to do:
$1200-$440=$760
Now 11% converted to a decimal is 0.11
5% converted to a decimal is 0.05
So 0.11+0.05
0.11+0.05= 0.16
Now 0.16 *$760=$121.60
Now we find the remaining amount so we subtract: $760-$121.60= $638.40
So our answer is $638.40 left
Answer:
34 2/3
Step-by-step explanation:
You need 47 yards. You have 12 1/3
47 - 12 1/3. So we'll break it down.
47 - 12 = 35.
Now, 35 + 12 1/3 would make 47 1/3
So now 35 - 1/3=34 2/3
34 2/3 + 12 1/3 = 47
