Question

Diane will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of
$65
and costs an additional
$0.50
per mile driven. The second plan has no initial fee but costs
$0.60
per mile driven. How many miles would Diane need to drive for the two plans to cost the same?

Answer 1

@jim_thompson5910

Answer 2

what are the two cost equations?

Answer 3

65+0.50?

Answer 4

close, but something is missing

Answer 5

variable?

Answer 6

yes

Answer 7

what variable do you want to use

Answer 8

i guess m

Answer 9

where will m go?

Answer 10

hmm with 0.60?

Answer 11

where else?

Answer 12

0.50?

Answer 13

yep

Answer 14

plan A costs 65 + 0.50m dollars

plan B costs 0.60m dollars

Answer 15

set the two plans equal together


plan A = plan B

65 + 0.50m = 0.60m

m = ???

Answer 16

give me one min to figure it out

Answer 17

ok

Answer 18

is it 650?

Answer 19

yes it is

Answer 20

so 650 miles

Answer 21

yes

Answer 22

Customers of a phone company can choose between two service plans for long distance calls. The first plan has a
$10
monthly fee and charges an additional
$0.16
for each minute of calls. The second plan has a
$16
monthly fee and charges an additional
$0.12
for each minute of calls. For how many minutes of calls will the costs of the two plans be equal?

Answer 23

what are the cost expressions for each plan?