Respuesta :
Answer:
[tex] 59 +0.11 x = 52 +0.15 x[/tex]
And solving for x we got:
[tex] 7= 0.04 x[/tex]
And replacing for x we got:
[tex] x = \frac{7}{0.04}= 175[/tex]
And for the cost would be:
[tex] c_1 = 59 +0.11*175 = 78.25[/tex]
[tex] c_2 = 52 +0.15*175 = 78.25[/tex]
Step-by-step explanation:
Assuming the following info corrected :Omar will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $59 and costs an additional 0.11 per mile driven. The second plan has an initial fee of $52 and costs an additional $0.15 per mile driven
For this case we know that the first plan has an initial fee of $59 and costs an additional 50.11 per mile driven and the second plan has an initial fee of $52 and costs an additional $0.15 per mile driven.
So we can set up the following equations for each cost
[tex] c_1 = 59 +0.11 x[/tex]
With c1 the cost of the plan 1 and x the number of miles
[tex] c_2 = 52 +0.15 x[/tex]
With c2 the cost of the plan 2 and x the number of miles
We can set equatl the two costs:
[tex] c_1 = c_2[/tex]
And replacing we got:
[tex] 59 +0.11 x = 52 +0.15 x[/tex]
And solving for x we got:
[tex] 7= 0.04 x[/tex]
And replacing for x we got:
[tex] x = \frac{7}{0.04}= 175[/tex]
And for the cost would be:
[tex] c_1 = 59 +0.11*175 = 78.25[/tex]
[tex] c_2 = 52 +0.15*175 = 78.25[/tex]
