Two companies are raising money for an organization that supports patients with breast cancer. Algorithms Corp. purchased 10,000 t-shirts for $27,500. They plan to stamp a cool logo in the front and back of the t-shirts and sell them for $15 each. Pura Vida Social, LLC purchased 20,000 sports water bottles for $15,250. They plan to customize and sell them for $10 each. Let x represent the number of items each company could sell, h(x) represents total potentail profit raised by Algorithms Corp. and g(x) represent total potentail profit raised by Pura Vida Social, LLC. Part A: Write an expression for h(x) and g(x) Part B: for what value of x does h(x)=g(x) Part C: what does it mean for h(x)=g(x)
Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
Two companies are raising money for an organization that supports patients with breast cancer. Algorithms Corp. purchased 10,000 t-shirts for $27,500. They plan to stamp a cool logo in the front and back of the t-shirts and sell them for $15 each. Pura Vida Social, LLC purchased 20,000 sports water bottles for $15,250. They plan to customize and sell them for $10 each. Let x represent the number of items each company could sell, h(x) represents total potentail profit raised by Algorithms Corp. and g(x) represent total potentail profit raised by Pura Vida Social, LLC.
Part A: Write an expression for h(x) and g(x)
Part B: for what value of x does h(x)=g(x)
Part C: what does it mean for h(x)=g(x)
Part D: what is a reasonable domain for h(x)
Part E: what is a reasonable domain for g(x)
Part F: What do the domains tell us about this situation
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