Question 950197: Lana can afford $275 a month for a car, insurance and gas. her car payment is $110 a month. her insurance will cost between $50 and $85 a month. write an inequality which represents the amount of Lana's budget left for gas.
I can not figure out how to represent the insurance cost in the inequality.
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! she can afford 275 for a car, insurance, and gas.
car payment is 110.
insurance will cost between 50 and 85
write equation that represents the amount of lana's budget left for gas.
your equation starts with c + i + g = 275
c represents the amount for the car
i represents the amount for the insurance
g represents the amount for gas.
her total budget is equal to 275.
the equation for her total budget is therefore:
c + i + g = 275
the car payments are fixed at 110 per month.
replace c with 110 to get:
110 + i + g = 275.
use the high estimate for insurance to get one figure and then use the low estimate for insurance to get the other figure.
assuming 85 per month for insurance, the formula becomes:
110 + 85 + g = 275
combine like terms to get:
195 + g = 275
solve for g to get g = 80
that's the low estimate for the amount of money available for gas.
assuming 50 per month for insurance, the formula becomes:
110 + 50 + g = 275
combine like terms to get:
160 + g = 275
solve for g to get g = 115
that's the high estimate for the amount of money available for gas.
depending on the cost of insurance, she can have as little as 80 available for gas, or she can have as much as 115 available for gas.
the amount of money available for gas will therefore fluctuate between 80 and 115, depending on the price of insurance.
the inequality to represent that would be:
amount of money available for gas is equal to 80 <= x <= 115, where x represents the amount of money available for gas.
she will have 80 available if the cost of insurance is 85.
she will have 115 available if the cost of insurance is 50.
she will have an amount somewhere between 80 and 115 available if the cost of insurance is somewhere between 50 and 85.
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