(04.07) Two separate bacteria populations grow each month and are represented by the functions f(x) = 3x and g(x) = 7x + 6. In w
2 answers:
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An equation in the form 
is the line
that goes through the origins and whose tangent equates
. In general, any equation in the form 
is the equation of a line.
that goes through the origins and whose tangent equates
is the equation of a line.
Answer:
- y=250x+4000
- y=400x+400
Step-by-step explanation:
Given that:
- x represents the number of months of ownership; and
- y represents the total paid for the car after ‘x' months.
<u>First Option (Leasing)</u>
250x - y + 4000 = 0
Expressing the equation in the Slope-Intercept Form y=mx+b, we have:
y=250x+4000
<u>Second Option (Financing)</u>
$400 for 0 months of ownership, (0,400), and $4400 for 10 months of ownership, (10, 4400).
First, we determine the slope of the line joining (0,400) and (10,4400)
We have:
y=400x+b
When y=400, x=0
400=400(0)+b
b=400
Therefore, the Slope-Intercept Form of the second option is:
y=400x+400
<u>Significance</u>
- In the first option, there is a down payment of $4000 and a monthly payment of $250.
- In the second option, there is a down payment of $400 and a monthly payment of $400.
<u>Part B</u>
We notice from the graph that after 24 months, the cost for leasing and financing becomes the same ($10,000). Therefore, a consumer will be better off financing since the downpayment for leasing is higher.
<u>i.e </u>
- When x=0, y=$4000 for leasing
- When x=0, y=$400 for financing
Answer:
Step-by-step explanation:
The equation that models the height of the ball in feet as a function of time is
Where is the initial height,
is the initial velocity and t is the time in seconds.
We know that the initial height is:
The initial speed is:
So the equation is:
The ball hits the ground when when
So
We use the quadratic formula to solve the equation for t
For a quadratic equation of the form
The quadratic formula is:
In this case
Therefore
We take the positive solution.
Finally the ball takes 2.47 seconds to touch the ground
Answer:
2.35 miles
Step-by-step explanation:
Please find the attachment for visual understanding.
We are told that the library is 1.75 miles directly north from the school and the park is 0.6 miles directly south of the school.
To find distance between library and park we will add distance of library from school to the distance of park from school.
Therefore, library is 2.35 miles away from park.
