The inequality expresses the maximum number of days Marisa can pay the expenses for her bike trip will be d ≤ 69.
What is inequality?
Inequality is defined as the relation which makes a non-equal comparison between two given functions.
Marisa saved $3000 to take a bike trip from Florida to California.
She estimated her expenses to be $40 per day.
The cost of a ticket to fly back is $240.
The inequality below can be used to find the maximum number of days (d) for which Marisa can pay the expenses on the bike trip.
40d + 240 ≤ 3000
Substitute all the values for d into the inequality
For, d≤81
40(81) + 240 ≤ 3000
40(81) + 240 = 3000
3240+240=3000
3480=3000 false
For, d≤75
40(75) + 240 ≤ 3000
40(75) + 240 = 3000
3000+240=3000
3240=3000 false
For, d≤69
40(69) + 240 ≤ 3000
40(69) + 240 = 3000
2760+240=3000
=3000
therefore, LHS = RHS
Hence, d ≤ 69 is true.
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