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.
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
Equation for 4 hot dogs and 2 sodas: 4h + 2s = 10
Equation for 6 hot dogs and 3 sodas: 6h + 3s = 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 $
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).
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)