Answer :
Let's solve the problem step-by-step:
### 4.1 Writing an Equation:
Kiran spends a total of [tex]$12 on fruit, where bananas cost $[/tex]1.50 per pound and guavas cost [tex]$3.00 per pound. We need to write an equation that represents this situation.
If \( b \) is the number of pounds of bananas and \( g \) is the number of pounds of guavas, the total cost can be expressed as:
\[ 1.50b + 3.00g = 12 \]
This equation shows how the costs of bananas and guavas add up to the total amount Kiran spends.
### 4.2 Finding Pounds of Guavas:
If Kiran buys 4 pounds of bananas, let's find out how many pounds of guavas he can buy.
1. Calculate the total cost of 4 pounds of bananas:
\[
4 \times 1.50 = 6.00
\]
So, Kiran spends $[/tex]6.00 on bananas.
2. Subtract the cost of bananas from the total amount spent on fruit to find out how much money is left for guavas:
[tex]\[
12 - 6.00 = 6.00
\][/tex]
Kiran has [tex]$6.00 left for guavas.
3. Determine how many pounds of guavas he can buy with $[/tex]6.00:
[tex]\[
\frac{6.00}{3.00} = 2.0
\][/tex]
Kiran can buy 2 pounds of guavas.
### 4.3 Identifying the Independent Variable:
When considering the relationship between the pounds of bananas Kiran buys and how many pounds of guavas he can afford, the independent variable is the number of pounds of bananas. This is because the amount of money left for guavas depends on how many pounds of bananas are purchased. Thus, the independent variable is:
A. Number of pounds of bananas
In summary:
- The equation relating the pounds of bananas and guavas is [tex]\( 1.50b + 3.00g = 12 \)[/tex].
- If Kiran buys 4 pounds of bananas, he can buy 2 pounds of guavas.
- The independent variable is the number of pounds of bananas.
### 4.1 Writing an Equation:
Kiran spends a total of [tex]$12 on fruit, where bananas cost $[/tex]1.50 per pound and guavas cost [tex]$3.00 per pound. We need to write an equation that represents this situation.
If \( b \) is the number of pounds of bananas and \( g \) is the number of pounds of guavas, the total cost can be expressed as:
\[ 1.50b + 3.00g = 12 \]
This equation shows how the costs of bananas and guavas add up to the total amount Kiran spends.
### 4.2 Finding Pounds of Guavas:
If Kiran buys 4 pounds of bananas, let's find out how many pounds of guavas he can buy.
1. Calculate the total cost of 4 pounds of bananas:
\[
4 \times 1.50 = 6.00
\]
So, Kiran spends $[/tex]6.00 on bananas.
2. Subtract the cost of bananas from the total amount spent on fruit to find out how much money is left for guavas:
[tex]\[
12 - 6.00 = 6.00
\][/tex]
Kiran has [tex]$6.00 left for guavas.
3. Determine how many pounds of guavas he can buy with $[/tex]6.00:
[tex]\[
\frac{6.00}{3.00} = 2.0
\][/tex]
Kiran can buy 2 pounds of guavas.
### 4.3 Identifying the Independent Variable:
When considering the relationship between the pounds of bananas Kiran buys and how many pounds of guavas he can afford, the independent variable is the number of pounds of bananas. This is because the amount of money left for guavas depends on how many pounds of bananas are purchased. Thus, the independent variable is:
A. Number of pounds of bananas
In summary:
- The equation relating the pounds of bananas and guavas is [tex]\( 1.50b + 3.00g = 12 \)[/tex].
- If Kiran buys 4 pounds of bananas, he can buy 2 pounds of guavas.
- The independent variable is the number of pounds of bananas.
