Answer:
The number of days is at most 5 days
= d ≤ 5 days
Step-by-step explanation:
A rental car company charges $31 per day to rent a car and $0.13 for every mile driven. Jocelyn wants to rent a car, knowing that:
She plans to drive 500 miles.
• She has at most $220 to spend.
At most means Less than or equal to $220
The inequality for expressing this = ≤
Hence, the inequality which can be used to determine d, the number of days Jocelyn can afford to rent while staying within her budget.
$31 × d + $0.13 × 500 miles ≤ $200
The inequality is given as:
31d + 65 ≤ 220
Solving further
31d ≤ 220 -65
31d ≤ 155
d ≤ 155/31
d ≤ 5
Therefore, the number of days is at most 5 days
Remark
I would have had the answer a whole lot sooner if I would have read the question properly. The figure in the circle is called a cyclic quadrilateral. It has the odd property that the angles that are opposite each other add up to 180o.
So DEB + DCB = 180o
DEB = 180 - 87
DEB = 93o
Note: The arcs marked 60 and 76 have nothing whatever to do with this problem.
Note that h(x) = 4x^2 - 8x - 60 factors to 4(x^2 - 2x - 15), and that the roots (zeros) of (x^2 - 2x - 15) are -5 and +3. Thus, the smallest zero is -5.
You would divide 6 by 30.
6/30=0.2
Therefore the answer is D
