Question

Mark started selling snacks at the nearby school. In one day he spends 300 pesos for rent and 20 pesos for each snack item he prepares. His expenses in a single day can be expressed as the function C(x)=20x+300, where x is the number of items and C(x) is his daily expenses in pesos. How much are his expenses if he prepares 100 snack items? 150 snack items?​

Answer 1

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Answer 2

SOLUTION

GIVEN

• Mark started selling snacks at the nearby school.

• In one day he spends 300 pesos for rent and 20 pesos for each snack item he prepares.

• His expenses in a single day can be expressed as the function C(x)=20x+300, where x is the number of items and C(x) is his daily expenses in pesos.

TO DETERMINE

• The expenses if Mark prepares 100 snack items

• The expenses if Mark prepares 150 snack items

EVALUATION

Number of snacks = x

C(x) = Daily expenses in pesos

Since Mark spends 300 pesos for rent and 20 pesos for each snack item he prepares

So we have

C(x) = 20x + 300

1. We have to find the expenses if Mark prepares 100 snack items

Here x = 100

Total expenses for 100 snack items

= C(100)

= ( 20 × 100 ) + 300 pesos

= ( 2000 + 300 ) pesos

= 2300 pesos

2. We have to find the expenses if Mark prepares 150 snack items

Here x = 150

Total expenses for 150 snack items

= C(150)

= ( 20 × 150 ) + 300 pesos

= ( 3000 + 300 ) pesos

= 3300 pesos

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