Answer:
Let 7x be the rent paid for backhoe for seven hours.
Step-by-step explanation:
Keyword: maximum amount, the most
Inequality symbol: ≤
(800 × 5) + 7x ≤ 9,000
4,000 + 7x ≤ 9,000
7x ≤ 9,000 - 4,000
7x ≤ 5,000
7x ÷ 7 ≤ 5,000 ÷ 7
x ≤ 714.29
To the nearest hundreds:
x ≤ 700
ANSWER: The maximum rental fee per hour of backhoe is Php 700.00 (rounded off to the nearest hundreds).
To check if he paid less than 9,000 for the total rent:
(800 × 5) + (700 × 7) < 9,000
4,000 + 4,900 < 9,000
8,900 < 9,000 (True)