Interpret the linear function f (x) = 3. 20x, where x is the
amount of gas in gallons and f (x) is the price in dollars.
(1 point)
The amount spent on gas starts at $3.20 and increases
linearly by $1 for each gallon of gas purchased. The
price of gas is $1 per gallon, which is equal to the slope.
Item 1
Item 2
Item 3
The amount spent on gas starts at $0 and increases
linearly by $3.20 for each gallon of gas purchased. The
price of gas is $3.20 per gallon, which is equal to the
slope.
The amount spent on gas starts at $0 and increases
linearly as time goes on. The price of gas changes by
$3.20 each week, which is equal to the slope.
b
The amount spent on gas starts at $3.20 and increases
linearly as time goes on. The price of gas changes by $1
each week, which is equal to the slope.
The correct interpretation is: The amount spent on gas starts at $3.20 and increases linearly by $1 for each gallon of gas purchased. The price of gas is $1 per gallon, which is equal to the slope.
The correct interpretation is:
The amount spent on gas starts at $3.20 and increases linearly by $1 for each gallon of gas purchased. The price of gas is $1 per gallon, which is equal to the slope.
The correct interpretation of the linear function f(x) = 3.20x is:
"The amount spent on gas starts at $3.20 and increases linearly by $3.20 for each gallon of gas purchased. The price of gas is $3.20 per gallon, which is equal to the slope."
To interpret a linear function, we need to understand the meaning of its components. In this case:
- f(x) represents the price of gas in dollars.
- x represents the amount of gas in gallons.
- The coefficient in front of x, which is 3.20, represents the slope of the line. It indicates the rate at which the price of gas changes for each unit increase in the amount of gas purchased.
Therefore, when x increases by 1 (representing the purchase of one gallon of gas), the price f(x) increases by 3.20 dollars.