What is 1/3 as a decimal value?
1 answer:
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Answer:
Slope is 5/3
y-intercept = -3
y = 5/3x - 3
Step-by-step explanation:
To find the slope, take to coordinates and use the equation below
7-2 = 5
6-3= 3
Now you have your slope which is 5/3
Then take the slope and input it into point slope form to get your y-intercept.
y-y₁=m(x-x₁)
y-2 = 5/3(x-3)
y-2=5/3x-5
add two to both sides to get Y by itself
y = 5/3x - 3
now you have your y-intercept, which is -3
Then check your answer by inputing two different coordinates for X and Y
7 = 5/3(6)-3
7=7
12= 5/3(9)-3
12=12
Complete Question
The function f determines the cost (in dollars) of a new Honda Accord in terms of the number of years t since 2000. That is, f ( t ) represents the cost (in dollars) of a new Honda Accord t years after 2000. Use function notation to represent each of the following. The cost (in dollars) of a new Accord in 2006?
A. How much more a new Accord costs in 2013 as compared to the cost of a new Accord in 2010?
B. A new Accord in 2013 is how many times as expensive as a new Accord in 2010?
C. In 2016 , some cars cost $980 more than the cost of a new Accord.How much does the other cars cost (in dollars)in 2016?
Answer:
a
The cost of a new Accord in 2013 compared to 2010 is z = f(13) - f(10)
b
The magnitude at which the cost of a new Accord in 2013 is greater than the cost in 2010 is
c
The cost of the other cars is 2016 is r = 980 + f(16)
Step-by-step explanation:
From the question we are told that
The cost (in dollars) of a new Honda Accord is f(t)
Where t is number of years after 2000
The cost of the Honda Accord at 2013 is
f(2013 - 2000) = f(13)
The cost of the Honda Accord at 2010 is
f(2010 - 2000) = f(10)
So the cost difference between 2013 and 2010 is mathematically evaluated as
z = f(13) - f(10)
Let constant at which the cost of Honda Accord in 2013 is greater than its cost at 2010 be x
So
f(13) = x f(10)
=>
The cost of the Honda Accord in 2016 is mathematically evaluated as
f(2016 - 2000) = f(16)
Now the cost of these other cars is mathematically evaluated as
r = 980 + f(16)