Write the equation for this situation:
During the month of February, the depth, d, of snow in inches at the base of one ski resort could be approximated by adding 7 to twice the number of days, t, since January 31st.
Then graph the equation and use the graph to determine the depth of the snow on February 10.
Write the equation for this situation: the cost, c, in dollars of a car rental is equal to 10 dollars plus 1/2 the miles driven, m.
Then graph the equation and use the graph to determine the cost of the car rental if the number of miles driven is 12. Please show all of your work. Submit your graph through the dropbox. (Points : 5)
To write the equation for this situation, let's break down the information given:
1. The depth of snow is represented by the variable "d" in inches.
2. The number of days since January 31st is represented by the variable "t".
3. The depth of snow can be approximated by adding 7 to twice the number of days.
Based on these points, we can write the equation as:
d = 7 + 2t
This equation represents that the depth of snow, "d", is equal to 7 plus twice the number of days, "t", since January 31st.
To graph this equation, you can create a coordinate system with the horizontal axis representing the days since January 31st (t) and the vertical axis representing the depth of snow (d). Then, plot the points that satisfy the equation and connect them to form a line.
To determine the depth of snow on February 10th, we need to find the value of "d" when "t" is 10. So, substitute t = 10 in the equation:
d = 7 + 2 * 10 = 7 + 20 = 27
Therefore, the depth of snow on February 10th is 27 inches.