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The trainers cost [tex]\$60[/tex].

The exchange rate is [tex]\$1 = £0.749[/tex].

Rehan says, "The trainers cost less than [tex]£40[/tex]."

Rehan is wrong.

(b) Using a suitable approximation, show working to explain why.


Sagot :

Let's go through the detailed steps to determine whether Rehan's statement is correct or not.

1. Identify the cost of the trainers in USD:
The trainers cost \[tex]$60. 2. Given the exchange rate: The exchange rate is \$[/tex]1 = £0.749.

3. Convert the cost of the trainers from USD to GBP:
We need to multiply the cost in USD by the exchange rate to find the cost in GBP.

Cost in GBP = [tex]\( 60 \)[/tex] USD × [tex]\( 0.749 \)[/tex] GBP/USD

4. Perform the multiplication to find the cost in GBP:
Cost in GBP = [tex]\( 60 \times 0.749 \)[/tex]

5. Determine the result of the multiplication:
Cost in GBP = £44.94

6. Compare the cost in GBP to £40:
Now, we need to check whether £44.94 is less than £40.

7. Conclusion:
Since £44.94 is clearly greater than £40, Rehan's statement that the trainers cost less than £40 is incorrect.

Therefore, Rehan is indeed wrong because the cost of the trainers after conversion is £44.94, which is not less than £40.