When (2x-20)+86=0
2x-20=-86
2x=-46
x=-23
First set up a linear equation and using the x and y values in the table see if it solves.
It doesn't solve so we know it isn't linear. ( I won't show all those steps because they aren't needed.)
Using the quadratic formula y = ax^2 +bx +c
Build a set of 3 equations from the table:
C is the Y intercept ( when X is 0), this is shown in the table as 6
Now we have y = ax^2 + bx + 6
-2.4 =4a-2b +6
1.4 = a-b +6
Rewrite the equations
a=b/2 -2.1
1.4 = b/2-2.1 +6
b = 5
a = 5/2 -2.1 = 0.4
replace the letters to get y = 0.4x^2 + 5x +6
(a) b = (33+11.95)d + 55.5
(b) The bill for a 5 day rental is $280.25
Step-by-step explanation:
Given,
Rent of car per day = $33
Rent of GPS per day = $11.95
Cost of gas = $3.70 per gallon
Cost of 15 gallons = 3.70*15 = $55.5 per tank
a) Write a function rule for the total bill b as a function of the days d the car is rented.
Let,
d be the number of days.
Total bill = (Rent of car per day + Rent of GPS per day )* Number of days + Cost of tank
b = (33+11.95)d + 55.5
b) What is the bill for a 5 day rental?
Putting d=5 in above function

The bill for a 5 day rental is $280.25
Keywords: function, addition
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