A delivery truck has 40,000 miles on its odometer and travels an average of 22,000 miles per year. Which function best models the linear relationship? y = 22,000x − 40,000 y = –22,000x + 40,000 y = 22,000x + 40,000 y = 40,000x − 22,000
Solution 1
The function that best models the linear relationship will be y = 22,000x + 40,000.
Let the number of years be represented by x.
From the information given, the delivery truck has 40,000 miles on its odometer and travels an average of 22,000 miles per year, this will then be;
y = 40000 + (22000 × x)
y = 40000 + 22000x
Therefore, the function that best models the linear relationship will be y = 22,000x + 40,000.
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Solution 2
📚 Related Questions
Unit rate is used in mathematics to compare one quantity with another quantity.
The unit rate to the nearest hundredth is $0.010
From the question, we know that 12 fl oz is $1.19. To find the unit rate,
12 fl oz = $1.19
1 fl oz = ?
Cross Multiply
1 fl oz x $1.19 / 12 fl oz
= $0.099166
To the nearest hundredth, the unit rate is $0.010
Therefore, the unit rate to the nearest hundredth is $0.010
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The ratio of the numbers of red, green and blue pens is 3:1:2
What is ratio?
A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Given that, In a box of pens, there are three times as many red pens as green pens and two times as many green pens as blue pens.
Let the number of green pens be x,
Then the number of red pens = 3x
Number of blue pens = 2x
Ratio = 3x:x:2x
= 3:1:2
Hence, the ratio of the numbers of red, green and blue pens is 3:1:2
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g=green
b=blue
r=3g
g=2b
red:green=3:1
green:blue=2:1
3:1, times 2
6:2
red:green=6:2
green:blue=2:1
red:green:blue=6:2:1
m=slope
b=yintercept
example
if slope=3
yintercept is 2 then
y=3x+2
simple as that
K- constant rate of proportionality
x is the depdendent numer
when x=0 (or when no change has occured), the y intercept is te starting value
example
a car is at the 1 mile mark
if it goes 10 miles per hour, what mark will it be at in 10 minutes
distance=10x+1
1 is starting point, when x=0, or when the car hasn't traveld at all
yint is the initial value of the function
the slope is always the number in front of just 'x' and the y- intercept is any number without a variable (Thats all I got) Hope this helps!
Factor 15n−18
15n−18
=3(5n−6)
3(5n−6)
5n-18 factored is 3(5n−6)
15n - 8 = 3(5n - 6)
For this case we have the following expression:
We look for the factors of each coefficient.
We have then:
Taking the biggest common factor we have:
Therefore, the factored expression is given by:
Answer:
the factored expression is given by:
15n−18
=3(5n−6)
3(5n−6)
5n-18 factored is 3(5n−6)
distaance=speed times time
cd=coyote distance*time=ds*dt
rd=rabbit diatance*time=rs*rt
given
t=6 for all, so dt=rt=6
and ds=43
rs=35
cd=43*6=258miles
rd=35*6=210miles
how much more?
258-210=48
48 more miles
hope it helps