A study showed the relationship between the number of hours driving for DoorDash and the expected amount of money earned using the linear equation modeled as:
y=25x+350
Where x is the number of hours driving for DoorDash, and y is the expected amount of money earned. Which of the following statement is true according to the model?
A
Driving for 10 hours will add $100 to the driver's money earned.
B
The driver will earn $800 for driving 10 hours.
C
Driving for 10 hours will add $250 to the driver’s money earned.
D
The driver will earn $750 for driving 10 hours.
To find the expected amount of money earned for driving 10 hours, we can substitute x=10 into the given equation:
y = 25x + 350
y = 25(10) + 350
y = 250 + 350
y = 600
Therefore, the statement B "The driver will earn $800 for driving 10 hours" is false, and the correct statement is D "The driver will earn $750 for driving 10 hours."
To determine the true statement according to the model, we need to substitute the value of x = 10 into the equation y = 25x + 350 and calculate y.
By substituting x = 10 into the equation, we get:
y = 25(10) + 350
y = 250 + 350
y = 600
Therefore, according to the model, the driver will earn $600 for driving 10 hours.
Among the given statements,
B. The driver will earn $800 for driving 10 hours.
This statement is not true according to the model.
To find the answer, we can substitute the value of x (number of hours driving) into the equation and solve for y (expected amount of money earned).
Given equation: y = 25x + 350
Let's solve for option A:
Substituting x = 10 into the equation:
y = 25(10) + 350
y = 250 + 350
y = 600
So, option A is not true since driving for 10 hours will not add $100, but $600 to the driver's money earned.
Now let's solve for option B:
Substituting x = 10 into the equation:
y = 25(10) + 350
y = 250 + 350
y = 600
So, option B is also not true since the driver will not earn $800 for driving 10 hours.
Next, let's solve for option C:
Substituting x = 10 into the equation:
y = 25(10) + 350
y = 250 + 350
y = 600
So, option C is again not true as driving for 10 hours will not add $250 to the driver's money earned.
Lastly, let's solve for option D:
Substituting x = 10 into the equation:
y = 25(10) + 350
y = 250 + 350
y = 600
So, option D is true. The driver will earn $600 for driving 10 hours.