The equation governiong this relationship is y = kx. Since y = 25 when x = 60,
25 = 60k, and k=(5/12). Thus, the equation is y = (5/12)x.
If y = 30, then 30 = (5/12)x. Mult. both sides by 12/5 to obtain the value of x:
(12/5)(30) = 360/5 = 72
Her situation can be modeled by the linear equation (in standard form):
x*$0.25 + y*$0.79 = $2.50
<h3>How to write the equation that represents her situation?</h3>
The variables that we will use here are:
x = number of apples that she can buy.
y = number of bananas that she can buy.
We know that she has $2.50 to spend, that each apple costs $0.25 and each banana costs $0.79, then the cost of the x apples and y bananas is:
x*$0.25 + y*$0.79
and that must be equal to the amount she has to spend, then we can write the linear equation:
x*$0.25 + y*$0.79 = $2.50
That is the linear equation in standard form that represents her situation.
Learn more about linear equations:
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Factor the numerator to get:
(-3z(z+5))/(z+5) now you notice that (x+5) cancel out leaving:
-3z
Answer:4months
Step-by-step explanation: