Final answer:
Nayva makes at least $176 on Tuesday, which is calculated by her fixed daily income of $80 plus $8 per phone sold. By setting up an inequality, we find she sold at least 12 phones that day. The number line would start at 12 and include all numbers greater than or equal to 12.
Step-by-step explanation:
Nayva earns $80 per day plus $8 per phone sold. On Tuesday, Nayva makes at least $176. To find out the minimum number of phones Nayva sold by the end of her shift on Tuesday, we can set up an inequality because we know her earnings were at least $176.
The inequality to represent Nayva's earnings on Tuesday would be:
80 + 8x ≥ 176,
where x is the number of phones sold.
Subtracting $80 from both sides of the inequality to solve for x gives us:
8x ≥ 176 - 80
8x ≥ 96
Dividing both sides by 8 gives us:
x ≥ 12
So, Nayva sold at least 12 phones on Tuesday. The number line representing the number of phones sold would start at 12 and go to the right, showing all numbers greater than or equal to 12.