Tamika has $800 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
She buys a new bicycle for $482.62.
She buys 3 bicycle reflectors for $10.84 each and a pair of bike gloves for $24.49.
She plans to spend some or all of the money she has left to buy new biking outfits for $52.93 each.
Which inequality can be used to determine oo, the maximum number of outfits Tamika can purchase while staying within her budget?
Answer
Multiple Choice Answers
52, point, 9, 3, o, plus, 539, point, 6, 3, is less than or equal to, 80052.93o+539.63≤800
52, point, 9, 3, plus, 539, point, 6, 3, o, is less than or equal to, 80052.93+539.63o≤800
52, point, 9, 3, plus, 539, point, 6, 3, o, is greater than or equal to, 80052.93+539.63o≥800
52, point, 9, 3, o, plus, 539, point, 6, 3, is greater than or equal to, 80052.93o+539.63≥800
52.93o + 539.63 ≤ 800
The correct inequality to determine the maximum number of outfits Tamika can purchase while staying within her budget is:
52.93o + 539.63 ≤ 800
So, the correct answer is:
52.93o + 539.63 ≤ 800
To determine the maximum number of outfits Tamika can purchase while staying within her budget, we need to consider the amount of money she has left after purchasing the bicycle, reflectors, and gloves.
First, let's calculate the total amount she spent on the bicycle, reflectors, and gloves:
Bicycle: $482.62
3 reflectors: $10.84 each = $10.84 * 3 = $32.52
Gloves: $24.49
Total amount spent on the bicycle, reflectors, and gloves = $482.62 + $32.52 + $24.49 = $539.63
To determine the maximum number of outfits Tamika can purchase, we subtract the total amount spent from her initial budget of $800:
$800 - $539.63 = $260.37
Now, we divide the remaining amount by the cost of each outfit:
$260.37 / $52.93 = 4.92
The maximum number of outfits Tamika can purchase is 4 (since she cannot purchase a fraction of an outfit).
Therefore, the correct inequality to represent this situation is:
52.93o + 539.63 ≤ 800,
which means that the total cost of the outfits (52.93 multiplied by the number of outfits, o) plus the total amount spent on the bicycle, reflectors, and gloves (539.63) is less than or equal to her initial budget of $800.