Dan charges a fixed amount per hour. He charges £180 for a job which takes 12 hours. Work how much he will charges for a job which will take 18 hours.

Answer:

270 pounds

Step-by-step explanation:

half of 12 is 6, so 18. Then you take half of 180 and add to 180

Answer:

18 hours = £270

Step-by-step explanation:

Find how much he charges per hour. Divide:

[tex]\frac{180}{12}=15[/tex]

So ha charges about 15 an hour. Multiply this price by the number of hours:

[tex]15*18=270[/tex]

Therefore, he will charge £270 for a job that takes 18 hours.

OR

Set a proportional relationship since he charges a fixed amount:

[tex]\frac{price}{time}=\frac{price}{time}[/tex]

Insert the appropriate corresponding values:

[tex]\frac{180}{12} =\frac{x}{18}[/tex]

Solve for the price after 18 hours of work, represented by x. Cross multiply:

[tex]12(x)=180(18)\\\\12x=3240[/tex]

Solve for x. Use inverse operations to isolate the variable. Divide both sides by 12:

[tex]\frac{12x}{12} =\frac{3240}{12} \\\\x=270[/tex]

Therefore, after 18 hours, he will charge £270.

:Done

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