Cesar rents a bicycle for a flat rate plus $10 per hour. He models the cost of the rental with the function f(x) = 10x + 15, where x
is the number of hours he rents the bicycle, and f(x) is the total cost of the bicycle rental, including the flat rate and the hourly fee.
What is the flat rate for the bicycle rental? (1 point)
$?
11 answers
The flat rate for the bicycle rental is $15.
The current temperature in degrees Celsius, where x equals the number of hours after noon, is 2x + 10. Interpreting this equation,
what is the initial value? (1 point)
O 10°C
O -10°С
O 2°0
O -2°0
what is the initial value? (1 point)
O 10°C
O -10°С
O 2°0
O -2°0
The initial value in this case refers to the temperature at the starting time, which is noon (x = 0). Plugging x = 0 into the equation 2x + 10:
2(0) + 10 = 10°C
Therefore, the initial value is 10°C.
2(0) + 10 = 10°C
Therefore, the initial value is 10°C.
From a height of 3,000 feet, a falcon descends at a rate of 250 ft./sec. What is the rate of change in the falcon's elevation, and what is the initial value? (1 point)
• The rate of change is 3,000 ft./sec., and the initial value is —250 ft.
• The rate of change is 3,000 ft./sec., and the initial value is 250 ft.
• The rate of change is —250 ft./sec., and the initial value is 3,000 ft.
• The rate of change is 250 ft./sec., and the initial value is 3,000 ft.
• The rate of change is 3,000 ft./sec., and the initial value is —250 ft.
• The rate of change is 3,000 ft./sec., and the initial value is 250 ft.
• The rate of change is —250 ft./sec., and the initial value is 3,000 ft.
• The rate of change is 250 ft./sec., and the initial value is 3,000 ft.
In this case, the falcon is descending at a rate of 250 ft/sec, which means a decrease in height. Therefore, the rate of change should be -250 ft/sec.
The initial value is given as the height from which the falcon started descending, which is 3,000 feet. Therefore, the initial value is 3,000 ft.
Therefore, the correct option is:
• The rate of change is -250 ft./sec., and the initial value is 3,000 ft.
The initial value is given as the height from which the falcon started descending, which is 3,000 feet. Therefore, the initial value is 3,000 ft.
Therefore, the correct option is:
• The rate of change is -250 ft./sec., and the initial value is 3,000 ft.
Hector would like to join a gym that has a one-time membership fee plus a monthly fee. He can use the function f(x) = 35x + 50
to model the cost of gym membership after x months. Identify and interpret the initial value of the function. (1 point)
• The initial value of 50 represents the one-time membership fee.
• The initial value of 35 represents the one-time membership fee.
• The initial value of 50 represents the monthly fee.
• The initial value of 35 represents the monthly fee.
to model the cost of gym membership after x months. Identify and interpret the initial value of the function. (1 point)
• The initial value of 50 represents the one-time membership fee.
• The initial value of 35 represents the one-time membership fee.
• The initial value of 50 represents the monthly fee.
• The initial value of 35 represents the monthly fee.
In the function f(x) = 35x + 50, the initial value of the function refers to the starting cost or fixed cost, which is incurred regardless of the number of months attended.
In this case:
- The coefficient of the x term (35) represents the monthly fee.
- The constant term (50) represents the one-time membership fee, which is the initial value.
Therefore, the initial value of 50 in this function represents the one-time membership fee.
The correct statement is:
• The initial value of 50 represents the one-time membership fee.
In this case:
- The coefficient of the x term (35) represents the monthly fee.
- The constant term (50) represents the one-time membership fee, which is the initial value.
Therefore, the initial value of 50 in this function represents the one-time membership fee.
The correct statement is:
• The initial value of 50 represents the one-time membership fee.
The function f(x) = -75x + 1, 200 represents the value of your cell phone x months after you purchase it. Identify and interpret
the initial value of the function. (1 point)
The initial value of 75 represents the value of your cell phone at the time you purchase it.
• The initial value of 75 represents the monthly cost of your phone.
• The initial value of 1,200 represents the monthly cost of your phone.
• The initial value of 1,200 represents the value of your cell phone at the time you purchase it.
the initial value of the function. (1 point)
The initial value of 75 represents the value of your cell phone at the time you purchase it.
• The initial value of 75 represents the monthly cost of your phone.
• The initial value of 1,200 represents the monthly cost of your phone.
• The initial value of 1,200 represents the value of your cell phone at the time you purchase it.
In the function f(x) = -75x + 1,200, the initial value of the function represents the value of the cell phone at the time of purchase. The initial value is given by the constant term in the equation.
In this case:
- The coefficient of the x term (-75) represents the decrease in the value of the phone per month.
- The constant term (1,200) represents the initial value, which is the value of the cell phone at the time of purchase.
Therefore, the initial value of 1,200 represents the value of your cell phone at the time you purchase it.
The correct interpretation is:
• The initial value of 1,200 represents the value of your cell phone at the time you purchase it.
In this case:
- The coefficient of the x term (-75) represents the decrease in the value of the phone per month.
- The constant term (1,200) represents the initial value, which is the value of the cell phone at the time of purchase.
Therefore, the initial value of 1,200 represents the value of your cell phone at the time you purchase it.
The correct interpretation is:
• The initial value of 1,200 represents the value of your cell phone at the time you purchase it.
A factory produces beach umbrellas. They have a fixed cost they must pay no matter how many umbrellas they produce, and a variable cost they must pay for each umbrella they produce. The cost of producing x umbrellas is modeled by the function
C(x) = 2.83x + 1, 350. Identify and interpret the initial value. (1 point)
• The initial value of 2.83 represents the variable cost.
• The initial value of 1,350 represents the variable cost.
• The initial value of 1,350 represents the fixed cost.
• The initial value of 2.83 represents the fixed cost.
C(x) = 2.83x + 1, 350. Identify and interpret the initial value. (1 point)
• The initial value of 2.83 represents the variable cost.
• The initial value of 1,350 represents the variable cost.
• The initial value of 1,350 represents the fixed cost.
• The initial value of 2.83 represents the fixed cost.
In the function C(x) = 2.83x + 1,350, the initial value represents the fixed cost that the factory must pay regardless of the number of umbrellas produced. The fixed cost is the cost that does not change based on production levels and is incurred regardless of production.
In this case:
- The coefficient of the x term (2.83) represents the variable cost per umbrella produced.
- The constant term (1,350) represents the fixed cost, which is the initial value.
Therefore, the initial value of 1,350 represents the fixed cost that the factory must pay.
The correct statement is:
• The initial value of 1,350 represents the fixed cost.
In this case:
- The coefficient of the x term (2.83) represents the variable cost per umbrella produced.
- The constant term (1,350) represents the fixed cost, which is the initial value.
Therefore, the initial value of 1,350 represents the fixed cost that the factory must pay.
The correct statement is:
• The initial value of 1,350 represents the fixed cost.
1 answer