kwesi is putting on sunscreen. he uses 3 ml to cover 45 cm squared of his skin. he wants to know how many milliliters of sunscreen (g) he needs to cover 240 cm squared of his skin. he assumes the relationship between milliliters of sunscreen and area is properational.

Respuesta :

Kwesi needs 16 ml of sunscreen.

Answer:

16 milliliters of sunscreen (g) he needs to cover 240 cm squared of his skin

Step-by-step explanation:

He assumed that relationship between milliliters of sunscreen and area is proportional.

[tex]V\propto S[/tex]

[tex]\frac{V_1}{S_1}=\frac{V_2}{S_2}=constant[/tex]

Volume of sun screen used to cover[tex] 45 cm^2,V_1= 3 mL[/tex]

[tex]S_1=45 cm^2[/tex]

Volume of sunscreen require to cover [tex]240 cm^2[/tex] of skin will be=[tex]V_2[/tex]

[tex]S_2=240 cm^2[/tex]

[tex]\frac{V_1}{S_1}=\frac{V_2}{S_2}[/tex]

[tex]\frac{3 mL}{45 cm^2}=\frac{V_2}{240 cm^2}[/tex]

[tex]V_2=16 mL[/tex]

16 milliliters of sunscreen (g) he needs to cover 240 cm squared of his skin.