Bowl-O-Rama charges, C, $5 per game, g, plus $4 for shoe rental, and Bowling Pinz charges, C, $4 per game, g, plus $8 for shoe rental. Write the pair of linear equations that model this situation.(1 point)
Bowl-O-Rama: C = 5g + 4
Bowling Pinz: C = 4g + 8
Equation 1: g + a = 100
Equation 2: 40g + 25a = 4000
Let x be the number of cups Akeem has to sell to break even.
The total cost of making x cups of lemonade is $2x + $40.
The total revenue from selling x cups of lemonade is $6x.
For Akeem to break even, the total cost and total revenue must be equal:
$2x + $40 = $6x
Subtracting $2x from both sides:
$40 = $4x
Dividing both sides by $4:
x = 10
Therefore, Akeem has to sell 10 cups of lemonade to break even.
Equation for 4 hot dogs and 2 sodas: 4h + 2s = 10
Equation for 6 hot dogs and 3 sodas: 6h + 3s = 15
For a 300-mile trip, the costs would be:
Top-Notch Car Rental: C = 150 + 0.35(300) = 150 + 105 = $255
Fleetwood Car Rental: C = 200 + 0.10(300) = 200 + 30 = $230
Therefore, Fleetwood Car Rental is less expensive by $25 (2 - 1 = 2).
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 1:
= 100
Equation 2, total:
= 4,000
The Highland Booster Club sells refreshments at the concession stand for local football games. Combinations include 4 hot dogs and 2 sodas for $10 and 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 4 hotdogs:
= 10
Equation for 6 hotdogs:
= 15
Mrs. Gonzalez is going to rent a car for a business trip for one week. Top-Notch Car Rental charges, C, $150 plus $0.35 per mile, m. Fleetwood Car Rental charges, C, $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 $
Akeem wants to have a lemonade stand at the community fair. It costs him $2 to make each cup of lemonade plus a $40 renter's fee for the stand. He sells the lemonade for $6 per cup. How many cups does Akeem have to sell to break even?(1 point)
Let's represent the number of games played as "g" and the cost as "C".
For Bowl-O-Rama, the cost is $5 per game plus $4 for shoe rental. Therefore, the equation for Bowl-O-Rama can be written as:
C = 5g + 4
For Bowling Pinz, the cost is $4 per game plus $8 for shoe rental. Therefore, the equation for Bowling Pinz can be written as:
C = 4g + 8
Hence, the pair of linear equations that model this situation are:
C = 5g + 4 (Equation 1)
C = 4g + 8 (Equation 2)