Question

James needs at least $450 for the new game system he wants to purchase. He calculates he can mow lawns and receive payment of $20 for each yard. James already has $115 saved. He calculates that he needs to mow a minimum of 9 yards to earn at least $450. Which of the following statements is true?

A.James is correct because he will have enough money. After mowing 9 yards he will have a total of $495.

b.James is incorrect because he will not have enough money. After mowing 9 yards he will have a total of $295.

c.James is incorrect because he will not have enough money. After mowing 9 yards he will have a total of $325.

d. James is correct because he will have enough money. After mowing 9 yards he will have a total of $495.

Answer 1

B.

Explanation:

Step 1: Write equation

$115 already saved up

$20 per yard mowed (variable)

$450 ≥

450 ≥ 20x + 115

Step 2: Plug in 9 lawns mowed

x = 9

450 ≥ 20(9) + 115

450 ≥ 180 + 115

450 ≥ 295

Since after mowing 9 lawns and gain only $295 total, we know that James is incorrect.