Answer :
Answer:
The projected cost of a gallon of oil by next june is $19.60.
Step-by-step explanation:
Given:
Oil prices are projected to increase by 100% by next june.
A quart of oil currently costs $2.45.
Now, to find the cost of a gallon of oil next june.
So, to get the projected cost of a quart of oil by next june:
Cost of one quart of oil currently = $2.45.
Rate of oil prices projected to increase by = 100%.
[tex]100\%\ of\ \$2.45+\$2.45\\\\=\frac{100}{100}\times 2.45+2.45\\\\=2.45+2.45\\\\=\$4.90.[/tex]
Now, to get the projected cost of a gallon of oil by next june we use conversion factor:
4 quart = 1 gallon.
If, 1 quart oil price = $4.90.
Then, 4 quarts oil price = [tex]\$4.90\times 4[/tex] = [tex]\$19.60.[/tex]
Thus, 1 gallon oil price = $19.60.
Therefore, the projected cost of a gallon of oil by next june is $19.60.