Question
The number of gallons of oil in stock decreases at a rate of 800 gallons per day. Initially, there were 9000 gallons of oil in stock. Write the equation to model this situation. After how many days will the store run out of oil?
Hint:
When two quantities of different units are compared and expressed as a ratio, it is known as Rate. For example, a car travels at a speed of 100 kilometres per hour, then it means in one hour it covers 100 kilometres. In the equation y = mx + c, m is the slope of the line which also represents the rate.
The correct answer is: the equation that represents the model is y = - 800x + 9000 and the stock of oil will run out in 11 1 fourth days.
Let’s say the number of gallons is represented as y and the number of days is represented as x. The number of gallons of oil in stock decreases at a rate of 800 gallons per day.
So, m = - 800
Let’s say the equation which represents the model is y = mx + c
y = - 800x + c …..(1)
We are given that initially, there were 9000 gallons of oil in stock i.e. y = 9000 when x = 0 days
9000 = 0 + c
c = 9000
So, the equation (1) becomes
y = -800x + 9000
Now, we need to find the number of days till the store run out of oil i.e y = 0 and we need to find x
0 = - 800x + 900
800x = 9000
x = 
= 
days
Final Answer:
Hence, the equation that represents the model is y = - 800x + 9000 and the stock of oil will run out in days.
Let’s say the equation which represents the model is y = mx + c
We are given that initially, there were 9000 gallons of oil in stock i.e. y = 9000 when x = 0 days
So, the equation (1) becomes
Now, we need to find the number of days till the store run out of oil i.e y = 0 and we need to find x
= daysFinal Answer:
Hence, the equation that represents the model is y = - 800x + 9000 and the stock of oil will run out in
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¶For instance, 1 < x < 3 is equivalent to "x > 1 andx < 3". The use of "or" is always used to specifically refer to a compound inequality, on the other hand.
¶x > 1: Since there is no "=" at 1, we receive an open dot. Additionally, since 1 has ">," we draw an arrow to the right of it.
