5 gallons of gas cost $15.
10 gallons of gas cost $30.
Function y is the cost of gasoline given x, the number of gallons bought.
There are two points given, (5, 15) and (10, 30).
We can write an equation for the function.
y - y1 = m(x - x1)
m = slope = (30 - 15)/(10 - 5) = 15/5 = 3
(x1, y1) is one of the given points. We can use (5, 15).
y - 15 = 3(x - 5)
y - 15 = 3x - 15
Add 15 to both sides.
y = 3x
y = 3x is a linear function.
answer with explanation:
we have to create a set of coordinates to model a relation as a linear function.
we know that a linear function is a function that has the equation of a straight line.
also the equation of a linear function in slope-intercept form is given as:
so, we create a relation as (x,y) such that y=3x
hence, the set of coordinates that can be created using this relation is:
and so on.
Y= (y2-y1/x2-x1)x + b
Y2= (y2-y1/x2-x1)x2 + b
B=y2 - (y2-y1/x2-x1)x2
Y= (y2-y1/x2-x1)x + [y2 - (y2-y1/x2-x1)
You can group a ratio or a multiple of x or y to prove a linear function.
To set coordinates randomly pick a title ie) rise in price for matches over 40 years.
$14 yr 10 $20 yr 11 etc. $25 year 12 etc.
We show yr 0 = 0 yr 1 = 8 and if 8 is the price we have a ratio start of 1:8 upon year 1. we then pinpoint the data what year was $16 and we know that yr 10 = $14 so yr 11 = $16.
Once we can write a format which isn't asked we can prove the relationship target of the graph would be x8
As the x y relationship coordinates can be shown here.
= 1 , 8
and then change number of years to decades. To make a linear equation work we could change the rate upon the decade that shows a more stable rate of change to be of significance and easier to read.
A linear function is a type of function of x and y proves a single line.
When a given ratio or rate of increase occurs ie) xy = 1/8 or 8/1 we can set the 1-4 decades spaced out on a graph and go up by decades since 1980 = decade 1, decade 2 decade 3 decade 4
for x value and for y we have price the actual data of change.
Therefore y = price change from $8 - $32 in last 40 years to appeal to advertisers who want to be ethical and fair for customers who pay more than $32 a game, they look for linear graphs that can show least amount cost of a ticket and average price ticket and compare success stories in advertising to crowds to further testing graphs before advertising so that companies can test advertising before sponsorship which is one way of investment, that can help ease costs of selection of tickets and go full circle for the financier of such games.They need linear graphs to compare to other business as each linear graphs can show better stability. So it is a good example to show costs and prices as prices demonstrate exactly how companies grow compared to their competitors.
slope = y2-y1/x2-x1
y = (y2-y1/x2-x1)x + b
y2 = (y2-y1/x2-x1)x2 + b
b = y2 - (y2-y1/x2-x1)x2
y = (y2-y1/x2-x1)x + [y2 - (y2-y1/x2-x1)]
Choose any points and just
Plug the values and you have a linear function.
NOT SURE IF THAT'S WHAT THE QUESTION WANTS.
this is the answer
slope = (x2,y2) (x3, y3)
y = (y2 - y3/x2 - x3)
y2 = (y2 - y3/x2 - x3)x2 + b
b = y2 - (y2 - y3/x2 - x3)x2
y = (y2 - y3/x2 - x3)x + [y2 - (y2 - y3/x2 - x3)]
answer: domain and range mean all possible values of x and y that could be substituted to the inequality. a solution means all possible values that make the inequality statement true. so while the range is still all real numbers, the solution is the shaded area, for which y will always be greater than the line of the function.