The table shows the cost in dollars, y , for renting a truck and the discount for using personal insurance for x number of days. Number of Days, x Cost for Truck Rental, y dollars Discount for Personal Insurance, y dollars 1 47 point 5 0 7 point 5 0 2 82 point 5 0 15 point 0 0 3 117 point 5 0 22 point 5 0 4 152 point 5 0 30 point 0 0 Which function shows the final cost in dollars, y , for renting four trucks using personal insurance for x number of days?
Answer
A
y is equal to 27 point 5 0 x plus 12 point 5 0
B
y is equal to 110 x plus 50
C
y is equal to 42 point 5 0 x plus 12 point 5 0
D
y is equal to 170 x plus 50
Explanation
The rental cost increases by $35 per day and has a $12.50 starting charge, so its cost is 35x + 12.50. Personal insurance saves $7.50 per day, making the cost for one truck 27.50x + 12.50. For four trucks, multiply by 4: 4(27.50x + 12.50) = 110x + 50, which is choice B.
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