The yu family and the sainz family went on vacation together and each family leased a car. the leasing company charged a flat rental fee for the week, plus a charge for each mile driven. the yu's drove 222 miles; their car cost $110.30 for the week. the sainz's drove 147 miles; their car cost $99.05. what is the linear equation that represents the cost of a rental car? round to the nearest hundredth

y = 0.15x+77 is the equation linear connecting total cost y and miles driven x

Step-by-step explanation:

Given that the leasing company charged a flat rental fee for the week, plus a charge for each mile driven.

Let flat rental fee be c and cost per mile driven = m and miles driven = x

Total cost =y

Then y = mx+C is the linear equation.

to find m and c, we use the fact that y =110.30 when x = 222

i.e. 110.30 = c+222x

and similarly 99.05 = c+147x

Subtract to eliminate c

11.25 = 75 x

0.15 =x

Substitute in I equation

110.30 = c+222(0.15)

c = 77

y = 0.15x+77 is the equation linear connecting total cost y and miles driven x

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