A, B

Step-by-step explanation:

21.

If you divide y by x (for example 51 by 3)for all of them you would get 17

Making the equation y=17x

22.

Since x = hours you plug in 3.5 for x

A .

B. domain of here is all values of x > 2 .

Step-by-step explanation:

Correct question is : the function models the area of a rectangle. a: describe the length and width of the rectangle in terms of x b: what is a domain for above function in relation to rectangle . Let's solve:

a: describe the length and width of the rectangle in terms of x

Let's factorise :

⇒

⇒

⇒

Since , ⇒ So

.

b: what is a domain for above function in relation to rectangle

Since area is always > 0 , and (length , breadth)>0 So,

⇒ Therefore, domain of here is all values of x > 2 .

1. A. y=17x

2. $59.50

Step-by-step explanation:

1. In the table , it can be seen that as x increases y increases with the proportionality constant k = ,.

Equation of direct variation between x and y :

Put k= 17 , we get

, which is the required equation.

So correct option is "A".

2. To find : The charge for renting a machine for 3.5 hours.

Put x= 3.5 in above equation , we get

Hence, the charge for renting a machine for 3.5 hours is $59.50.

So correct option is "B".

1. 4 (6 + 7) is the same as (4 • 6) + (4 • 7)

X = 4

2. 6 • 45 = 270

a. 270, (6 • 40) + (6 • 5) = 240 + 30 = 270

b. 210, (6 • 40) - (6 • 5) = 240 - 30 = 210

c. 270, (6 • 50) - (6 • 5) = 300 - 30 = 270

A. 270, C. 270

3. 6m + 7n + 5m - 3n, combine like terms, 6m + 5m = 11m, 7n - 3n = 4n

B. 11m + 4n

4. 2y^3 - 4y^2 + y + y^3, exponents tell you what are like terms

C. 2y^3 and y^3

5. 4x^3 - 3x^2 + x + 3x^3, combine like terms, then put in descending order

D. 7x^3 - 3x^2 + x

X = 4

2. 6 • 45 = 270

a. 270, (6 • 40) + (6 • 5) = 240 + 30 = 270

b. 210, (6 • 40) - (6 • 5) = 240 - 30 = 210

c. 270, (6 • 50) - (6 • 5) = 300 - 30 = 270

A. 270, C. 270

3. 6m + 7n + 5m - 3n, combine like terms, 6m + 5m = 11m, 7n - 3n = 4n

B. 11m + 4n

4. 2y^3 - 4y^2 + y + y^3, exponents tell you what are like terms

C. 2y^3 and y^3

5. 4x^3 - 3x^2 + x + 3x^3, combine like terms, then put in descending order

D. 7x^3 - 3x^2 + x

a. 0.75

b. y = 0.75 x - 0.75

c. 76.5

Step-by-step explanation:

a. What is the constant rate of change of y with respect to x?

We know that the value of y and the value of x vary together at a constant rate of change so that Δy = 0.75. Δx. Then, the rate of change is:

Δy / Δy = 0.75

b. Write a formula that expresses y in terms of x.

The formula of the linear expression that relates x and y is:

y = 0.75 x + b

where,

0.75 y the slope

b is the intercept

We know that when x = 3, y = 1.5. Then,

1.5 = 0.75 . 3 + b

b = -0.75

The resulting formula is

y = 0.75 x - 0.75

c. What is the value of y when x = 103?

When x = 103

y = 0.75 . 103 - 0.75

y = 76.5

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