A space heater costing $235 offers an extended warranty for 15% of the purchase price. If the local repair shop will fix a space heater for $12, how many times must the space heater need repairs for the warranty to be worth the cost?

Verified Answer :

15 % of 235  = 35.25 , it will need to be repaired atleast 3 times for the warranty to be worth the cost

Answer: It must take atleast 3 times to repairs for the warranty to be worth the cost.

Step-by-step explanation:

Since we have given that

Cost of a space heater = $235

Percentage of the purchase price offers an extended warranty = 15%

So, it will become,

@@MATH_TOKEN_0@@

Price fixed by the local repair shop on a space heater = $12

So, Number of times it must the space heater need repairs for the warranty to be worth the cost is given by

\(\frac{35.25}{12}=2.993\\\\=3\ approx.\)

So, it must take atleast 3 times to repairs for the warranty to be worth the cost.