nameangelina emiren 2/2/26
write equations from verbal descriptions
1. (mp) model with mathematics the area of a floor in square yards is one - ninth the area of the floor in square feet. write the equation representing y, the area in square yards, to f, the area in square feet.
2. an object’s height is measured in centimeters and inches. write an equation that relates the number of centimeters c to the number of inches i. determine the height in centimeters of a chair that is 32 inches tall.
3. (mp) model with mathematics michael practiced his harmonica 3 times as long as timothy did. michael practiced for 126 minutes. write an equation that represents the relationship between the amount of time timothy practiced x and the amount of time michael practiced.
4. caleb has read 17 more books than his friend liana. write an equation that represents the relationship between n, the number of books caleb has read, and p, the number of books liana has read.
(mp) model with mathematics for problems 5 - 10, write an equation for each description.
5. felix sold 35 fewer raffle tickets than helene. how many tickets f did felix sell if helene sold h tickets?
6. sloane works 7\frac{1}{2} hours each day. how many hours h does sloane work in d days?
7. a grocery store charges $2.49 per pound for organic apples. what is the cost c, in dollars, of p pounds of organic apples?
8. paula used 1\frac{3}{4} cups of flour for a recipe. how many cups y of flour did paula have if she had x cups before making the recipe?
9. each crate holds 135 avocados. how many avocados a are in c crates?
10. every delivery order from a pizzeria has a delivery charge of $1.50. how many dollars b is the total bill for a delivery of one pizza if the pizza costs...

Question

Accepted Answer

### Problem 1
# Explanation:
## Step1: Understand the relationship
The area in square yards ($y$) is one - ninth the area in square feet ($f$). So we can write the equation as $y=\frac{1}{9}f$

# Answer:
$y = \frac{1}{9}f$

### Problem 2
# Explanation:
## Step1: Find the conversion equation
We know that 1 inch is equal to 2.54 centimeters. So the relationship between centimeters ($c$) and inches ($i$) is $c = 2.54i$
## Step2: Calculate the height of the chair
We are given that the chair is 32 inches tall ($i = 32$). Substitute $i = 32$ into the equation $c=2.54i$
$c=2.54\times32 = 81.28$

# Answer:
The equation is $c = 2.54i$ and the height of the chair is 81.28 centimeters.

### Problem 3
# Explanation:
## Step1: Define the relationship
Michael's practice time (let's say $m$) is 3 times Timothy's practice time ($x$). And we know Michael practiced for 126 minutes. So the equation is $m = 3x$ or $126=3x$

# Answer:
$126 = 3x$ (or $m = 3x$ where $m = 126$)

### Problem 4
# Explanation:
## Step1: Define the relationship
Caleb has read 17 more books than Liana. If $n$ is the number of books Caleb has read and $p$ is the number of books Liana has read, then $n=p + 17$

# Answer:
$n=p + 17$

### Problem 5
# Explanation:
## Step1: Define the relationship
Felix sold 35 fewer tickets than Helene. If $F$ is the number of tickets Felix sold and $H$ is the number of tickets Helene sold, then $F=H - 35$

# Answer:
$F=H - 35$

### Problem 6
# Explanation:
## Step1: Define the relationship
Sloane works $7\frac{1}{2}$ (or $\frac{15}{2}$ or 7.5) hours each day. The total number of hours $h$ she works in $d$ days is the product of the number of hours per day and the number of days. So $h = 7.5d$ (or $h=\frac{15}{2}d$)

# Answer:
$h = 7.5d$ (or $h=\frac{15}{2}d$)

### Problem 7
# Explanation:
## Step1: Define the relationship
The cost $c$ of $p$ pounds of apples is the price per pound times the number of pounds. The price per pound is $\$2.49$, so $c = 2.49p$

# Answer:
$c = 2.49p$

### Problem 8
# Explanation:
## Step1: Define the relationship
Paula used $1\frac{3}{4}=\frac{7}{4} = 1.75$ cups of flour. If she had $x$ cups before and $y$ cups after, then $y=x - \frac{7}{4}$ (or $y=x - 1.75$)

# Answer:
$y=x-\frac{7}{4}$ (or $y = x - 1.75$)

### Problem 9
# Explanation:
## Step1: Define the relationship
Each crate holds 135 avocados. The number of avocados $a$ in $c$ crates is the number of avocados per crate times the number of crates. So $a = 135c$

# Answer:
$a = 135c$

### Problem 10 (assuming the pizza costs $p$ dollars)
# Explanation:
## Step1: Define the relationship
The total bill $b$ for a delivery is the cost of the pizza $p$ plus the delivery charge of $\$1.50$. So $b=p + 1.50$

# Answer:
$b=p + 1.50$ (assuming the pizza cost is $p$ dollars)

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Problem 1

Step1: Understand the relationship

Step1: Find the conversion equation

Step2: Calculate the height of the chair

Step1: Define the relationship

Answer:

Problem 2