How much is Leah's bill if she uses 350 units of electricity?
Understand the Problem
The question is asking to calculate Leah's electricity bill based on the formula provided, where the total cost 'c' depends on the number of units 'n' used. This involves substituting 'n' with 350 and performing the calculation.
Answer
Leah's bill is \( 4919 \) pence.
Answer for screen readers
Leah's total electricity bill is ( c = 4919 ) pence.
Steps to Solve
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Substitute the value of n To find Leah's bill, substitute the value of ( n ) (the number of units of electricity) into the formula. We have: $$ n = 350 $$
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Plug the value into the formula Insert ( n ) into the total cost formula: $$ c = 14(350) + 19 $$
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Calculate the multiplication Calculate ( 14 \times 350 ): $$ 14 \times 350 = 4900 $$
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Add the constant Add 19 to the result from the multiplication: $$ c = 4900 + 19 = 4919 $$
Leah's total electricity bill is ( c = 4919 ) pence.
More Information
Leah's electricity bill reflects both the cost per unit consumed and a fixed charge. In this case, the variable cost is based on the units used, while the fixed charge is a small additional amount.
Tips
- Forgetting to substitute correctly: Make sure to replace ( n ) with the correct value before performing calculations.
- Incorrect arithmetic: Always double-check multiplication and addition steps to avoid calculation errors.
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