1)a linear function is represented by f(x)=2x+7 which of the following functions would be parallel to that of the function above
a)f(x)=2x-7
b)f(x)=x+7
c)f(x)=x-7
d)f(x)=-1/2x+7
e)f(x)=-1/2x-7
I choose b
2)water is pumped into an empty tank at a constant rate. after 2 minutes the tank contains 400 gallons. after 5 minutes the tank is full. how many gallons of water does the tank hold
900 gallons
can someone please check my answers
the one with the same slope of 2.
I choose (a)
Looks like it gets water at the rate of 200 gallons/minute. How do you get 900 after 5 minutes of pumping?
1) To determine which function is parallel to f(x) = 2x + 7, we need to compare their slopes. The slope of f(x) = 2x + 7 is 2.
a) f(x) = 2x - 7: The slope is 2, matching the original function. This function is parallel to f(x) = 2x + 7.
b) f(x) = x + 7: The slope is 1, not matching the slope of the original function.
c) f(x) = x - 7: The slope is 1, not matching the slope of the original function.
d) f(x) = -1/2x + 7: The slope is -1/2, not matching the slope of the original function.
e) f(x) = -1/2x - 7: The slope is -1/2, not matching the slope of the original function.
Therefore, the correct answer is a) f(x) = 2x - 7.
2) To find the number of gallons the tank holds, we need to determine the rate at which water is being pumped.
From the given information, we know that in 2 minutes, the tank contains 400 gallons. This implies a rate of 400 gallons / 2 minutes = 200 gallons/minute.
Since it takes a total of 5 minutes for the tank to become full, we can multiply the rate by the time to find the capacity of the tank: 200 gallons/minute * 5 minutes = 1000 gallons.
Therefore, the tank holds 1000 gallons of water, not 900 gallons.