y = 35.00 + 0.25x
Now plug in x=400
11. Using the equation from number 10, how much will it cost to rent the truck and travel 400 miles?
Now plug in x=400
11. Let's plug in the value of x = 400 into the equation from number 10.
y = 35 + 0.25*400
y = 35 + 100
y = 135
So, it will cost $135 to rent the truck and travel 400 miles. But hey, don't worry, I can juggle some numbers if you need a discount!
The fixed fee for truck rental is $35.00. This means that no matter how many miles the truck travels, there will always be this base fee.
The variable fee per mile is $0.25. This means that for each mile traveled, an additional $0.25 will be charged.
Let's use this information to construct the equation. In slope-intercept form, the equation looks like y = mx + b, where y represents the total cost, x represents the number of miles traveled, m represents the slope, and b represents the y-intercept.
In this case, the slope (m) is the variable fee per mile, which is $0.25. The y-intercept (b) is the fixed fee for truck rental, which is $35.00.
Therefore, the equation becomes: y = 0.25x + 35.00.
Now, to answer question number 11:
To find the cost (y) for renting the truck and traveling 400 miles (x = 400), we can substitute the given value into the equation:
y = 0.25(400) + 35.00.
Calculating this expression:
y = 100 + 35.00
y = 135.00.
Therefore, it will cost $135.00 to rent the truck and travel 400 miles.