submarine is 7500 meters below, surfaces at rate of 80 meters per min.
depth of sub after m minutes is given by d(m) = -7500 + 80m
a. please give range for this function i thought -7500, is this correct? thanks
b. make a table for graphing this function/ do not know how
c. give domain show work is this 7500 divided by 80
thanks
Please help with algebra
a. The range of a function refers to the possible values that the function can output. In this case, the function is d(m) = -7500 + 80m, which represents the depth of the submarine after m minutes. The depth is measured in meters.
To determine the range of this function, we need to consider the possible values that d(m) can take. Notice that the coefficient of m is positive (80m), which means that as time increase, the depth will also increase. Additionally, the initial depth is -7500 meters.
Given these considerations, we can conclude that the range of this function is all real numbers greater than or equal to -7500. In other words, the submarine can surface at any depth above or equal to -7500 meters.
b. To create a table for graphing this function, we can choose different values for m and compute the corresponding depth, d(m), using the equation d(m) = -7500 + 80m. Here's an example of a table:
| m | d(m) |
|----|------------|
| 0 | -7500 |
| 1 | -7420 |
| 2 | -7340 |
| 3 | -7260 |
| 4 | -7180 |
|... | ... |
You can generate more values by substituting different values for m into the equation. Each value of m will correspond to a different depth, given by d(m).
c. The domain of a function refers to the set of all possible input values for the function. In this case, the function represents the depth of the submarine after m minutes, and the depth is measured in meters.
To determine the domain, we need to consider any restrictions or limitations on the input values (m). In this case, there are no apparent restrictions on the time (m). So, the domain of this function is all real numbers.
To clarify, the depth of the submarine after m minutes is given by d(m) = -7500 + 80m, and there are no limitations on the values of m. You are correct that the depth of -7500 meters corresponds to when the submarine is initially below the surface.