Question

the following situation involves a rate of change that is constant. write a statement that describes how one variable changes with respect to the other, give the rate of change numerically (with units), and use the rate of change rule to answer any questions. you run along a path at a constant speed of 2.3 miles per hour. how far do you travel in 1.1 hours? in 3.3 hours? which statement describes this situation? a. the distance traveled varies with respect to time with a rate of change of 2.3 mi/h. b. the distance traveled varies with respect to time with a rate of change of 2.3 h/mi. c. time varies with respect to distance traveled with a rate of change of 2.3 mi/h. d. time varies with respect to distance traveled with a rate of change of 2.3 h/mi. what is the distance traveled after 1.1 hours? miles (type an integer or a decimal.)

Explanation:

Step1: Identify the formula for distance

The formula relating distance ($d$), speed ($v$), and time ($t$) is $d = v \times t$. Here, the speed $v = 2.3$ miles per hour, and we need to find the distance for $t = 1.1$ hours.

Step2: Substitute the values into the formula

Substitute $v = 2.3$ and $t = 1.1$ into the formula $d = v \times t$. So, $d = 2.3 \times 1.1$.

Step3: Calculate the product

Calculate $2.3 \times 1.1$. $2.3\times1.1 = 2.53$.

For the multiple - choice question:
We know that distance is a function of time (distance depends on time), and the rate of change of distance with respect to time is speed. The speed is 2.3 miles per hour. So the correct statement is A: The distance traveled varies with respect to time with a rate of change of 2.3 mi/h.

Answer:

For the multiple - choice question: A. The distance traveled varies with respect to time with a rate of change of 2.3 mi/h.
For the distance traveled in 1.1 hours: 2.53 miles.