Final answer:
Options b (436 miles), c (240 miles), and d (435 miles) meet the requirement for Jaime's pay to be under $800, as he can drive less than 480 miles before his earnings exceed this limit. Option a (560 miles) exceeds the limit and therefore does not meet the requirement.
Step-by-step explanation:
To determine which numbers of miles driven meet Jaime's pay requirement, we have to ensure that his total weekly earning is less than $800. Jaime earns a fixed amount of $560 per week plus $0.50 per mile driven.
Let's let m represent the number of miles driven. The equation to calculate Jaime's pay is:
Pay = $560 + ($0.50 × m)
To meet the requirement that his paycheck must be less than $800, we set up the inequality:
$560 + ($0.50 × m) < $800
Now we solve for m:
- $0.50 × m < $800 - $560
- $0.50 × m < $240
- m < $rac{240}{0.50}
- m < 480 miles
Therefore, Jaime can drive less than 480 miles to keep his paycheck under $800. Looking at the options given:
- a. 560 miles - This is too high and does not meet the requirement.
- b. 436 miles - This is less than 480, so it meets the requirement.
- c. 240 miles - This is also less than 480, so it meets the requirement.
- d. 435 miles - This is less than 480, so it meets the requirement.
The numbers of miles that meet the requirement are 436 miles, 240 miles, and 435 miles.