Question

22.Mrs. Patton is planning to place a

fence around her vegetable garden. The fencing
costs $1.75 per yard. She buys f yards
of fencing and pays $3.50 in tax. If the total cost of the fencing is 73.50 write an equation to represent the situation
of the fencing is $73.50, write an equation to
represent the situation.
Translate each sentence into a formula.

Answer 1

C=1.75f+3.5

Explanation:

Mrs. Patton planned to place a

fence around her vegetable garden. The fencing costs $1.75 per yard. She buys f yards of fencing.

Hence cost of fencing =1.75f

Also she paid, $3.50 in tax which is fixed . Hence the total cost of the fencing will be

1.75f+3.5

Hence the equation to represent the situation will be

C=1.75f+3.5

If the total cost is $73.50

73.50=1.75f+3.5

1.75f=70

Dividing both sides by 1.75

f=40.

Hence for 40 yards the cost of fencing was $73.50