The set of rental car rates making it more economical for Jamal than employing taxi services is outlined as A = {x | 0 ≤ x < 26} [where x represents dollars]. The step-by-step breakdown is as follows: Let the rental cost be $x per day. With Jamal's trip extending over 4 days, factoring in $24 for gas, and estimating taxi costs at around $128, an inequality emerges: 128 > 24 + 4x. Thus simplifying leads to 4x < 104 and consequently x < 26.
Angle A =x
Angle B is represented as 4x
Angle C is expressed as 5x-30
Hence, the correct responses are A, C, and D
The equation provided in slope-intercept form is 226.50 = 7.5 (25) + 39. Step-by-step explanation: The slope-intercept form of an equation is represented by y = mx + c. The hourly cost of boat rental is $25. Assuming a one-time cleaning fee of k, and with the boat rented from 11 am to 6:30 pm, the total hours of use amount to 7.5 hours. Consequently, the rental cost for those 7.5 hours becomes 7.5 multiplied by $25, equating to $187.50. The total sum paid by the family amounts to $226.50, which equals the cleaning fee plus the 7.5-hour rate. Thus, the cleaning charge comes to $226.50 - $187.50 = $39. The equation presented reflects this relationship.