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.