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A boat rental company offers two different rental packages. The first rental package costs $45, plus $29.50 per hour. The second rental package costs $90, plus $0.70 per hour. Which answer choice best approximates the number of rental hours at which the boating packages cost the same amount? 4.5 hr 1.6 hr 2.1 hr 128.6 hr​

Respuesta :

vanessaakaraiwe123

Answer:

1.6 hr

Step-by-step explanation:

1st rental package: y = 29.50x + 45

2nd rental package: y = 0.70x + 90

Set the equation equal to each other;

29.50x + 45 = 0.70x + 90

Subtract 0.70x from both sides;

28.8x + 45 = 90

Subtract 45 from both sides;

28.8x = 45

Divide both sides by 28.8

x = 1.5625 ≈ 1.6

Parrain

Based on the cost of the different rental packages, they will most likely be equal after 1.6 hours

The first rental package is $45 flat and $29.50 per hour. Assuming the number of hours is x, this could be represented by the equation:

= 45 + 29.50x

The second rental package can be represented as:

= 90 + 0.70x

To find out when they will be equal, equate both equations:

45 + 29.5x = 90 + 0.70x

29.5x - 0.70x = 90 - 45

28.8x = 45

x = 45 / 28.8

x = 1.56 hours

= 1.6 hours

In conclusion, the boating packages will be equal in 1.6 hours.

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