algebra 1a mid unit

Question

a pizza shop sells pizzas that are 15 inches in diameter or larger. A 15-inch pizza costs 10. each additional inch costs 1.50 and each additional topping costs 1 dollar. Write an equation

Answer 1

A 15" pizza (with no toppings other than cheese, I assume) costs $10.

Larger sizes cost more, as well as additional toppings, so in modeling this with an equation, we need to have 2 input variables, both influencing the output, which is price.

Lets let x represent the diameter of the pizza.

The expression (x - 15)*$1.50 gives the extra amount you would pay for ordering a pizza larger than 15".

Lets let y represent the number of toppings.

The expression y*$1.00 gives the extra amount you would pay for ordering toppings other than cheese.

So now, let's put the two expressions together and not forget the expressions represent the extra cost. The base cost of a 15" cheese pizza is $10.

Total Cost = (x - 15)*$1.50 + y*$1.00 + $10.00, where x is the size (diameter) of the pizza and y is the number of toppings in addition to cheese. (Cheese is included, so if you order just a cheese pizza, then y would be zero)

Lets check a few values:

15", cheese: (15-15)*$1.50 + 0($1.00) +$10.00 = $10.00 ✓

16" cheese: (16-15)*$1.50 + 0($1.00) +$10.00 = $11.50✓

15" 2 topping: (15-15)*$1.50 + 2($1.00) +$10.00 = $12.00 ✓

16" 3 topping: (16-15)*$1.50 + 3($1.00) +$10.00 = $14.50 ✓

18" 5 topping: (18-15)*$1.50 + 5($1.00) +$10.00 = $19.50 ✓

Everything looks good! Bon Appetit!

Answer 2

A simple equation would be like this: 10 + (1.50 * inch) + (1.00 * topping). So say customer orders a 16 inch pizza with 2 additional toppings the answer will be like this: 10 + (1.50 * 1) + (1.00 * 2) = 13.50