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Elanso [62]
2 years ago
6

Solving a word problem using a two-step med

Mathematics
1 answer:
stepladder [879]2 years ago
5 0

Inequality is 6t  ≤ 44 and Jim can rent a boat for 7.33 hrs or less

<u> Solution:</u>

Given that  

Maximum amount Jim can spend to rent a boat = $34

Rental cost of boat for 1 hour = $6

Also Jim has a discount coupon for $8 off.

Need to determine possible number of hours Jim could rent a boat.

Let’s assume possible number of hours Jim could rent a boat be represented by variable "t"

Cost of renting boat for 1 hour = 6

So Cost of renting a boat for t hours = t x renting boat for 1 hour = t x 6 = 6t

Also Maximum amount Jim can spend to rent a boat = $34

As Jim has a discount coupon for $8 off, so Total amount Jim can spend to rent a boat = $ 34 + $ 8 = $ 44

So cost of renting a boat for t hours must be less that of equal to Total amount Jim can spend to rent a boat

=> 6t  ≤ 44

On solving above equality for "t" we get ,

\begin{array}{l}{t \leq \frac{44}{6}} \\\\ {=>\mathrm{t} \leq 7.3333 \mathrm{hrs}}\end{array}

Hence inequality is  6t  ≤ 44 and Jim can rent a boat for 7.33 hrs or less.

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Step-by-step explanation:

Using the cosine rule formulae;

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