Tyee has $720 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax. He buys a new bicycle for $401.83. He buys 4 bicycle reflectors for $12.85 each and a pair of bike gloves for $23.83. He plans to spend some or all of the money he has left to buy new biking outfits for $40.49 each. Use the drop-down menu below to write an inequality representing oo, the number of outfits he can buy while staying within his budget.



Answer :

The inequality that represents the number of outfits he can buy while staying within his budget is M ≤ 6.

What is inequality?

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal =

Greater than and equal=

We have,

Total amount to spend = $720

Cost of bicycle = $401.83

Cost of bicycle reflector = $12.85 ( 4 reflector bought )

Cost of bike cloves = $23.83

Cost of biking outfits = $40.49

The number of possible biking outfits:

401.83 + 4 x 12.85 + 23.83 + M40.49 ≤ 720

401.83 + 51.4 + 23.83 + M40.49 ≤ 720

477.06 + M40.49 ≤ 720

M40.49 ≤ 720 - 477.06

M40.49 ≤ 242.94

M ≤ 242.94 / 40.49

M ≤ 6

M = Number of possible outfits

Thus,

The inequality that represents the number of outfits he can buy while staying within his budget is M ≤ 6.

Learn more about inequalities here:

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