# 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) Responses −10°C negative 10 degrees C 2°C 2 degrees C −2°C negative 2 degrees C 10°C

## the answers r

10°C

The rate of change is −250ft./sec., and the initial value is 3,000 ft.

The initial value of 50 represents the one-time membership fee.

The initial value of 1,200 represents the value of your cell phone at the time you purchase it.

The initial value of 1,350 represents the fixed cost.

## The rate of change in the falcon's elevation is given as 250 ft./sec. This means that the falcon is descending at a rate of 250 feet per second.

The initial value is the starting height of the falcon, which in this case is given as 3,000 feet. Therefore, the initial value is 3,000 ft.

So, the correct response is: The rate of change is 250 ft./sec., and the initial value is 3,000 ft.

## 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) Responses 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 negative 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 negative 250 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) Responses The initial value of 50 represents the one-time membership fee. The initial value of 50 represents the one-time membership fee. ThHector 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) Responses The initial value of 50 represents the one-time membership fee. The initial value of 50 represents the one-time membership fee. Th

## The initial value of the function f(x) = 35x + 50 represents the one-time membership fee. In this case, the initial value is 50, so it means that Hector needs to pay a one-time membership fee of $50 when joining the gym.

## 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) Responses The initial value of 1,200 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 1,200 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 75 represents the monthly cost of your phone. The initial value of 75 represents the value of your cell phone at the time you purchase it.

## The initial value of the function f(x) = -75x + 1,200 represents the value of your cell phone at the time you purchase it. In this case, the initial value is 1,200. So, when you purchase your cell phone, it has a value of $1,200.

## 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) Responses The initial value of 2.83 represents the fixed cost. T

## The initial value of the function C(x) = 2.83x + 1,350 represents the fixed cost. In this case, the initial value is 1,350. So, the factory incurs a fixed cost of $1,350 regardless of the number of umbrellas they produce.

## To find the initial value of the equation, we need to determine the temperature at zero hours after noon, which represents the starting point.

Given that the equation for the temperature is 2x+10, we substitute x = 0 into the equation to find the initial value:

T(0) = 2(0) + 10 = 0 + 10 = 10

Therefore, the initial value of the equation is 10°C.