Answer:
The equation for that satisfies the number of bananas and apples you can buy is;
x+2 y≤100, where 0≤x≤100, and 0≤y≤50
x=number of apples that can be bought
y=number of bananas that can be bough
Step-by-step explanation:
A budget is the act of providing a particular amount of money to be used for a given activity. In our case, you have set aside $100. This means that whatever you buy should not exceed this amount, meaning the maximum amount you can spend is limited to this value. The equation below can be used to draw the graph for the scenario above;
(A×Na)+(B×Nb)≤I
where;
A=apple cost per unit
Na=number of apples
B=banana cost per unit
Nb=number of bananas
I=available income
In our case;
A=$1
Na=unknown=x
B=$2
Nb=unknown=y
I=$100
replacing;
(1×x)+(2×y)≤100
x+2 y≤100
We can assume values of x and y that satisfy this limitation as follows;
x=0 y≤50
y=0, x≤100
0≤x≤100
0≤y≤50
The equation for that satisfies the number of bananas and apples you can buy is;
x+2 y≤100, where 0≤x≤100, and 0≤y≤50
x=number of apples that can be bought
y=number of bananas that can be bought