Question

Q.10. Jack sells toy cars on a website. The web site fee is $30. Jack sells toy cars for $4 each.

Which inequality Jack should use to determine how many toy cars, c, he must sell to make
a profit of at least $50?

A 34c ≤50
B 34c ≥ 50
C 4c-30 ≥ 50
D 4c+30 ≥ 50

Answer 1

B

Explanation:

34c < 50 = 136 (136 is greater than 50 wrong sign) x

B 34c > 50 = 136 (136 is greater than right sign)

C 4c-30 > 50 = -14 > 50 (wrong)

D 4c + 30 > 50 = 46 > 50 ( 46 is not greater than 50)

Answer 2

Let's break down the cost and revenue for Jack's toy car sales:

The cost to Jack is the website fee of $30.

The revenue for Jack is the number of toy cars he sells (c) multiplied by the selling price of each toy car, which is $4 per toy car.

To make a profit of at least $50, Jack's revenue must be at least $80 ($30 website fee + $50 profit). Therefore, we can set up the following inequality:

4c - 30 ≥ 50

Solving for c, we get:

4c ≥ 80

c ≥ 20

So, Jack must sell at least 20 toy cars to make a profit of at least $50. The correct answer is option B: 34c ≥ 50.