Final answer:
The equation to solve for the number of paletas Juan sold is y = 10 + 0.15x, where y is his total earnings. By inputting his total earnings of $45.30 and solving for x, we find Juan sold 235 paletas.
Step-by-step explanation:
The student's question is asking to create an equation to represent the earnings of Juan based on the number of paletas he sold. The equation needs to account for both a flat rate of $10 per shift and a commission of $0.15 per paleta sold. To calculate the total earnings, we use the formula:
y = 10 + 0.15x
where y is the total amount earned in dollars and x is the number of paletas sold. In this scenario, the total earnings for Juan's shift on Sunday were $45.30. To find the number of paletas he sold, we plug in the total earnings for y and solve for x:
45.30 = 10 + 0.15x
Subtracting 10 from both sides of the equation gives us:
35.30 = 0.15x
Dividing both sides by 0.15 to isolate x yields:
x = 35.30 / 0.15
x = 235
Thus, the number of paletas Juan sold during his shift on Sunday is 235.