Question

Jeremiah went to the grocery store and bought a soda for $2 and 6 sandwich costing, x dollars. The tax on the food was a 25% increase to the food. A) Expression: B) If each sandwich cost $5, how much does Jeremiah pay in total?

Answer 1

• A) 1.25(2 +6x)
• B) $40

Explanation:

A) Let's first consider the effect of the tax:

total payment = (food cost) + 25% × (food cost) = (1 + 0.25)×(food cost)

If the cost of a sandwich is x dollars, the cost of 6 sandwiches will be 6 times that, or 6x dollars. When the $2 cost of the soda is added, we get ...

food cost = 2 + 6x

Putting this into the equation for total payment, we find the expression to be ...

total payment = 1.25(2 +6x)

_____

B) Evaluating the expression for part A with x=5, we get ...

total payment = 1.25(2 +6·5) = 1.25·32 = 40 . . . . dollars