Two small pizzas with diameter 10 cost $15, while a large pizza with diameter of 16 cost $17 which pizza is less expensive per square inch

Answer:The larger pizza is less expensive per square inchStep-by-step explanation:we know thatThe area of a circle (pizza) is equal to[tex]A=\pi r^{2}[/tex]step 1Find the area of the smaller pizzawe have[tex]r=10/2=5\ in[/tex] ----> the radius is half the diametersubstitute[tex]A=(3.14)(5)^{2}=78.5\ in^{2}[/tex]Find the price per square unitRemember thatThe price of one smaller pizza is [tex]\$15/2=\$7.5[/tex]so[tex]\frac{7.5}{78.5}\frac{\$}{in^{2}}=0.10\frac{\$}{in^{2}}[/tex]step 2Find the area of the larger pizzawe have[tex]r=16/2=8\ in[/tex] ----> the radius is half the diametersubstitute[tex]A=(3.14)(8)^{2}=200.96\ in^{2}[/tex]Find the price per square unitso[tex]\frac{17}{200.96}\frac{\$}{in^{2}}=0.08\frac{\$}{in^{2}}[/tex]ThereforeThe larger pizza is less expensive per square inch