Question
At the Henderson Middle School awards ceremony, the principal is going to honor outstanding students with gift cards. The gift cards for excellent grades, g , are worth $40, and the gift cards for perfect attendance, a , are worth $25. The principal has $4,000 allotted for this event, and he is going to recognize 100 students. Write the pair of linear equations that model this situation.(1 point)
Equation to represent the total number of students:
= 100
Equation to represent the total cost of the gift cards:
= 4,000
Equation to represent the total number of students:
g + a = 100
Equation to represent the total cost of the gift cards:
40g + 25a = 4,000
Question
The Highland Booster Club sells refreshments at the concession stand for local football games. Combination 1 includes 4 hot dogs and 2 sodas for $10. Combination 2 includes 6 hot dogs and 3 sodas for $15. Let h represent the cost of a hot dog, and let s represent the cost of a soda. Write the pair of linear equations that model this situation.(1 point)
Equation for Combination 1:
= 10
Equation for Combination 2:
= 15
Equation for Combination 1:
4h + 2s = 10
Equation for Combination 2:
6h + 3s = 15
Mrs. Gonzalez is going to rent a car for a business trip for one week. The total cost, C , for Top-Notch Car Rental is $150 plus $0.35 per mile, m . The total cost, C , for Fleetwood Car Rental is $200 and $0.10 per mile, m . Which company is less expensive for a 300-mile trip and by how much? Use 1 for Top-Notch Car Rental and 2 for Fleetwood Car Rental in the answer.(1 point)
The less expensive company is __ by $__
.