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Epicbuildzz
05.07.2019 •
Mathematics
The cost to fill a car's tank with gas and get a car wash is a linear function of the capacity of the tank. the costs of a fill-up and a car wash for three different customers are shown in the table. write an equation for the function in slope-intercept form. then, find the cost of a fill-up and a car wash for a customer with a truck whose tank size is 25 gallons.
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Ответ:
The cost of a fill-up and a car wash for a customer with a truck whose tank size is 25 gallons is![\$55.75](/tpl/images/0052/6078/029f4.png)
An equation for the function in slope-intercept form is,
Tank size is![x](/tpl/images/0052/6078/a0e3f.png)
Cost of car wash is![b](/tpl/images/0052/6078/d3a66.png)
Total cost![(\$)=f(x)](/tpl/images/0052/6078/4e369.png)
Find value of slope i.e,![m](/tpl/images/0052/6078/d8537.png)
Find Cost of Car wash
Put value in eq 1
Hence, equation for the function in slope-intercept form is ,
Now if the tank capacity is
gallons ,
Hence, the cost of a fill-up and a car wash for a customer with a truck whose tank size is 25 gallon is![\$55.75](/tpl/images/0052/6078/029f4.png)
Learn more about slope form here:
link
Ответ:
For this case we have a linear function of form:
Where:![f (x) = mx + b](/tpl/images/0052/6078/31a19.png)
y: Represents the total cost of filling and washing
m: Represents the cost of filling the tank of a car with gasoline
x: Represents the capacity of the tank
b: Represents the cost of car washing
To find the slope, we need two points. Be:
Substituting in the formula of the slope, we have:
To find the cost of the car wash, that is, "b", we substitute the slope and any of the points in the equation
:
Thus, the cost of a fill-up and a car wash for a customer is:
, where x represents the tank capacity of the car to be treated.
If the tank capacity of the truck is 25 gallons, we substitute![x = 25.](/tpl/images/0052/6078/0e412.png)
Thus, the total cost to fill and wash the truck is 55.75 dollars.
Option A
Ответ:
It’s a or d
Step-by-step explanation: