It is 41° Fahrenheit (F) outside. Using the formula below, which of the following is the temperature in terms of degrees Celsius (C)? (Round to the nearest integer.)

C = 5/9(F-32)

We are asked to find an equation for Y, the profit (or dollars raised), based on:

• Selling price per T-shirt: $12
• Cost per T-shirt: $5
• One-time fixed cost: $150
• Number of shirts sold: x

Step-by-step breakdown:

• Total Revenue:

Revenue=12x

• Total Cost:

Cost=150+5x

• Profit (Y) = Revenue – Cost:

Y=12x−(150+5x)

Correct answer: D. Y = 12x – (5x + 150)

Let's analyze the table to determine the relationship between slices of cake and calories.

We’ll use two points to find the calories per slice:

From the table:

• At 2 slices → 960 calories
• At 5 slices → 2,400 calories

Step 1: Find the difference

2,400−960=1,440caloriesincreasefor5−2=3slices

1,4403=480caloriesperslice

We can verify this with another pair:

• At 11 slices: 11×480=5,280
• At 19 slices: 19×480=9,120

Everything checks out.

Correct answer: C. Each slice of cake is 480 calories.

Let's rule out the others:

• A. Says 960 calories per slice — wrong.
• B. Says it's a negative relationship — incorrect, it’s positive.
• D. Claims no direct relationship — incorrect, it’s a linear relationship.

We can solve this using a proportion, since the dose is directly proportional to the child's weight.

Step 1: Set up the proportion

20 mg/50 lb=x/ mg35 lb

Step 2: Solve for xxx

x =

=700/50

=14 mg

Correct answer: C. 14 mg

Let's break it down:

• There are 4 friends.
• One friend eats half of the pizza → 1/2 is gone.
• The remaining half (1/2) is shared equally among the 3 remaining friends.

So, each of the 3 remaining friends gets:

1/2÷3=1/2×1/3=1/6

Correct answer: B. 1/6

We are told:

• Initial population = 1,000
• The bacteria doubles every 3 days
• We want the population after 9 days

Step 1: Determine how many doubling periods in 9 days

9/3=3doublings

Step 2: Double the population 3 times

Populationafter9days=1000×23=1000×8=8000

Correct answer: B. 8,000

We are given:

• Bill = $43.20
• Gratuity = 15%

Step 1: Calculate 15% of $43.20

0.15×43.20=6.48

Step 2: Add the gratuity to the bill

43.20+6.48=49.68

Correct answer: D. $49.68

We are given:

• Daily charge: $23 per day
• Mileage charge: $0.42 per mile
• Rented for 3 days
• Driven 125 miles

Step 1: Calculate the daily rental cost

3days×23=69dollars

Step 2: Calculate the mileage cost

125miles×0.42=52.50dollars

Step 3: Total bill

69+52.50=121.50

Correct answer: C. $121.50

We are given:

• 8 servings of fried rice use 6 oz of peas.
• We need to find how many servings use 100 oz of peas.
• The relationship is proportional.

Step 1: Set up the proportion

=

Step 2: Solve for x

x=8×100/6=800/6≈133.33

Rounding to the nearest whole number:

133​

Correct answer: D. 133

Explanation

We are given:

• Pool C drains in 6 hours
• Pool B takes 3 times as long as Pool C →

B=3×6=18hours

• Pool B takes twice as long as Pool A →

A=182=9hours

Correct answer: D. 9

Let’s define the total cost for each restaurant:

• Restaurant A: Charges $100 + $20 per person

CostA=100+20x

• Restaurant B: Charges $25 + $25 per person

CostB=25+25x

We want to find the number of people x where the costs are equal:

Step 1: Set the costs equal

100+20x=25+25x

Step 2: Solve for x

Subtract 20x from both sides:

100=25+5x

Subtract 25 from both sides:

75=5x

Divide by 5:

x=15