Respuesta :
Answer:
[tex]\text{p}=\$1.20\text{c}-\$20[/tex]
Step-by-step explanation:
GIVEN: Catherine sells cupcakes c for [tex]\$1.50[/tex] each, The ingredients for each cupcake cost her [tex]\$0.30[/tex], and the sum of all her other expenses is [tex]\$20/\text{month}[/tex].
TO FIND: Equation to represent Catherine's profit from selling cupcakes.
SOLUTION:
Cost of ingredients for each cupcake [tex]=\$0.30[/tex]
sum of all other expenses [tex]=\$20/\text{month}[/tex]
Selling price of each cupcake [tex]=\$1.50[/tex]
Total cupcakes sold [tex]=\text{c}[/tex]
Now,
As we know that [tex]\text{Net profit}=\text{Selling price}-\text{Cost price}-\text{Other expense}[/tex]
putting values,
[tex]\text{p}=\$1.50\text{c}-\$0.30\text{c}-\$20[/tex]
[tex]\text{p}=\$1.20\text{c}-\$20[/tex]
Hence the equation to represent Catherine's profit (p) from selling cupcakes for one month Catherine sells is [tex]\text{p}=\$1.20\text{c}-\$20[/tex]
