Answer :
Dona bought 5 pounds of banana and 2 gallons of milk for a total of $2.25.
What are linear and non-linear functions?
A straight line on the coordinate plane is represented by a linear function. As an illustration, the equation y = 3x – 2 depicts a linear function because it is a straight line in the coordinate plane.
Any function whose graph is not a straight line is said to be nonlinear. Any curve other than a straight line can be a graph of it.
An example of a non-linear function is a quadratic function.
Given, In 1947, milk cost $0.75 per gallon and bananas cost $0.15 per pound.
Let,The cost of one gallon of milk is 'x' dollars and the cost of one pound of banana is 'y' dollars.
Also given Donna bought two gallons of milk and some bananas for a total of $2.25.
Therefore, 2(0.75) + 0.15y = 2.25.
0.15y = 2.25 - 1.5.
0.15y = 0.75.
y = 0.75/0.15.
y = 5.
So, Dona bought 5 pounds of bananas.
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Donna bought 5 pounds of bananas in 1947.
Let's start by defining variables to represent the unknowns in the problem. Let \( x \) be the number of pounds of bananas Donna bought. We can set up an equation based on the given information.
The cost of two gallons of milk is [tex]\( 2 \times $0.75 = $1.50 \).[/tex] The cost of the bananas is [tex]\( x \times $0.15 = $0.15x \)[/tex]. According to the problem, the total cost is [tex]$2.25[/tex]. So, the equation can be written as:
\[ 1.50 + 0.15x = 2.25 \]
To solve for \( x \), subtract [tex]$1.50[/tex] from both sides of the equation:
\[ 0.15x = 0.75 \]
Now, divide both sides by 0.15:
[tex]\[ x = \frac{0.75}{0.15} \][/tex]
Simplifying the right side, we find:
\[ x = 5 \]
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