The linear equation represents y = mx + b describes several real world situations such as
- Relation between printer and ink cartridges,
- Relationship between number of songs and how much is left on the card.
<u>Step-by-step explanation</u>:
Linear equations y = mx + b.
m is your rate of change.
b is your constant. This is the initial value of y. The value of y when x is 0.
Finally, y is the thing that depends on x.
Oh right, examples:
- I buy a printer for $100 and the ink cartridges cost $25 each. The relationship between ink cartridges and total cost.
total cost = 25(cartridges I buy) + 100 or y = 25x + 100
-
I get a $100 iTunes gift card for my birthday and then start buying $1 songs. The relationship between the number of songs I buy and how much is left on the card
amount left on card = -$1(songs bought) + 100 or y = -x +100
Answer:
Step-by-step explanation:
First order from smallest to largest.
70.8, 71.9, 72.1, 82.4, 85.3, 98.1.
Median is the middle number/s.
72.1+82.4/2 so The median is 77.25
Range is the largest number minus the smallest number.
85.3-70.8=14.5
Mode is the most repeated number.
Since there are no repeated numbers there is no mode.
Second question:
Again rearrage: 6, 9, 11, 14, 17
In order to make the median 10 you would have to add another 9 becasue
11+9/2 = 10
Third: remove 6 to make 12 the middle number
Fourth: add all numbers 90+x/6=20 so x has to be 30
Set up a ratio of known to unknown:
Let X = the amount of gas needed for 500 miles:
220/12 = 500/x
Cross multiply:
220x = 6000
Divide both sides by 220:
X = 6000 / 220
x = 27.27 gallons (round answer as needed).
Answer:
B. y - 35 = 2(x - 10)
Step-by-step explanation:
The height of the plant, y, after x days could be modeled by the equation
<h3>y-y0=k(x-xo) (1)
,</h3><h3>
where y0 was the initial height at 'x0'th. day, and k is the constant of proportionality.</h3><h3>
From equation (1), k could be evaluated as follows:</h3><h3>
k=(y-y0)/(x-x0) </h3><h3>
From the problem statement, we may determine k by plugging in the given values, e.g. y0= 35, x0=10, y=55, x=20.</h3><h3>
Thus,</h3><h3>
k=(55-35)/(20-10)=2</h3><h3>
Therefore, the model equation becomes</h3><h3>
y-35=2(x-10)</h3><h3>
</h3>
