9514 1404 393
Answer:
A) $8/bushel (divide dollars by bushels)
B) $2
Step-by-step explanation:
A) We observe that the graph is a straight line through the origin, so we know the price is proportional to the quantity. The "rate of change" is the ratio of price to quantity, which can be figured using any point on the graph.
For easy division by quantity, it is convenient to use the point for 10 bushels. That price is $80, so the "rate of change" is ...
price per bushel = $80/10 = $8 . . . per bushel
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B) The same calculation can be done for the previous year. Any line of the table will do.
price per bushel = $12/2 = $6
The current year price is greater by ...
$8 -6 = $2 . . . per bushel
Senior tickets (x)
Child tickets (y)
First day: 3x + 5y = 70
second day: 12x + 12y = 216
Solve the system of equations (use elimination)
Multiply first equation by -4 -4(3x + 5y = 70), which makes it
-12x - 20y = -280
(+)12x + 12y = 216 add to second equation
-8y = -64
divide by -8. y = 8
Plugin the y value to either equation ( I will choose first equation)
3x + 5(8) =70
3x+ 40 = 70
3x = 30
x = 10
Senior tickets are $10, child tickets are $8
Answer:
-65
Step-by-step explanation:
In order to answer this question, we use the concept of ratio and proportion wherein we use the equation,
R1 / T2 = R2 / T1
where R is for rate and T is for time. Substituting the known values to the equation,
(600)/x = (400)/ 20
The value of x from the equation is 30. Thus, it will take 30 hours if the rate was adjusted to 400 gallons per minute.
