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Sagot :
Answer:
Car A: Initial Charge = 20
Car B: Initial Charge = 30
Car A: Rate = 5
Car B: Rate = 0
At 2 miles, their charges will be the same
Step-by-step explanation:
Given
Car A
[tex]Base\ Charge = \$20[/tex]
[tex]Rate = \$5[/tex] per mile
Car B
[tex]Base\ Charge = \$30[/tex]
Solving (a): The initial charge
First, we get the linear equation that represents both car's charges.
Represent number of miles with m.
So, the charges is:
Car A
[tex]A = Base\ Charge + Rate * m[/tex]
[tex]A = 20 + 5 * m[/tex]
[tex]A = 20 + 5m[/tex]
Set m to 0 to get the initial charge:
[tex]A = 20 + 5*0[/tex]
[tex]A=20[/tex]
and
[tex]Rate = 5[/tex]
Car B:
[tex]B = Base\ Charge + 0 * m[/tex] i.e. Rate is 0
[tex]B = 30+ 0 * m[/tex]
[tex]B = 30[/tex]
So:
[tex]Initial = 30[/tex] and [tex]Rate = 0[/tex]
Solving (b): When their charge wil be equal.
To do this, we set:
[tex]A = B[/tex]
[tex]20 + 5m = 30[/tex]
[tex]5m = 30- 20[/tex]
[tex]5m = 10[/tex]
[tex]m = 2[/tex]
At 2 miles, their charges will be equal
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