Question

1. rachel tries to keep her lunch choices at or below 750 calories each day. she is at the deli and has chosen oven - roasted chicken wrapped in a spinach tortilla shell. she would like to add 3 slices of bacon, 2 slices of provolone cheese, lettuce, 2 slices of tomato, peppers, guacamole, and mayonnaise. use the table to determine whether rachel will meet her goal of 750 calories or less.

item	number of calories
tomato and herb tortilla	70
oven roasted chicken	270
rotisserie style chicken	310
provolone cheese, per slice	50
cheddar cheese, per slice	60
lettuce	0
tomato, per slice	5
green peppers	0
mayonnaise	100
bacon, per slice	60
guacamole	70

• no, rachels lunch selection is 800 calories, so it is over her goal of 750 calories.
• no, the lunch will not meet her goal. her selections total over 920 calories.
• rachels lunch selection is 625 calories, so it will meet her goal of 750 calories.
• rachels lunch has exactly 750 calories, so it does meet her goal.

Explanation:

Step1: List out each item and its calories

• Spinach Tortilla: 70
• Oven Roasted Chicken: 270
• Bacon (3 slices): \( 3\times60 = 180 \)
• Provolone Cheese (2 slices): \( 2\times50 = 100 \)
• Lettuce: 0
• Tomato (2 slices): \( 2\times5 = 10 \)
• Green Peppers: 0
• Mayonnaise: 100
• Guacamole: 70

Step2: Sum all the calories

\[
70 + 270 + 180 + 100 + 0 + 10 + 0 + 100 + 70
\]
First, add 70 and 270: \( 70 + 270 = 340 \)
Then add 180: \( 340 + 180 = 520 \)
Then add 100: \( 520 + 100 = 620 \)
Then add 10: \( 620 + 10 = 630 \)
Then add 100: \( 630 + 100 = 730 \)
Then add 70: \( 730 + 70 = 800 \) Wait, no, wait, let's recalculate:

Wait, let's do step by step again:

70 (tortilla) + 270 (chicken) = 340

340 + 180 (bacon) = 520

520 + 100 (provolone) = 620

620 + 0 (lettuce) = 620

620 + 10 (tomato) = 630

630 + 0 (peppers) = 630

630 + 100 (mayonnaise) = 730

730 + 70 (guacamole) = 800

Wait, but the third option says 625, which is wrong. Wait, maybe I missed an item? Wait, the problem says "3 slices of bacon, 2 slices of provolone cheese, lettuce, 2 slices of tomato, peppers, guacamole, and mayonnaise" plus the tortilla and chicken. Wait, did I include all? Let's check again:

Tortilla:70, Chicken:270, Bacon 360=180, Provolone 250=100, Lettuce:0, Tomato 2*5=10, Peppers:0, Mayonnaise:100, Guacamole:70. Sum: 70+270=340; 340+180=520; 520+100=620; 620+0=620; 620+10=630; 630+0=630; 630+100=730; 730+70=800. So total is 800, which is over 750. So the first option says 800, so that's correct. Wait, but when I calculated earlier, I think I made a mistake before. Wait, let's add again:

70 (tortilla) + 270 (chicken) = 340

340 + (3*60=180) = 520

520 + (2*50=100) = 620

620 + 0 (lettuce) = 620

620 + (2*5=10) = 630

630 + 0 (peppers) = 630

630 + 100 (mayonnaise) = 730

730 + 70 (guacamole) = 800. Yes, so total is 800. So the first option is correct: "No, Rachel’s lunch selection is 800 calories, so it is over her goal of 750 calories."

Answer:

A. No, Rachel’s lunch selection is 800 calories, so it is over her goal of 750 calories.