The purchase price of the new car if the sales tax is $3500 is $50000
Direct variation
Let the amount of sales tax be A and the purchase price be p
If the amount of sales tax is directly proportional to the purchase price, this is expressed as:
S = kp
If S = $1750 and p = $25000, the;
k = S/p
k = 1750/25000
k = 175/2500
If the sales tax is $3500, the purchase price will be given as:
S = kp
3500 = 175/2500 p
175p = 3500*2500
175p = 8750000
p = 8750000/175
p = 50000
Hence the purchase price of the new car if the sales tax is $3500 is $50000
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