All categories

2 years ago

Write whether the scenario represents a linear function or an exponential function? Explain why.

1 answer:

8 0

The scenario represents a linear function. The rate is at a constant increase therefore it is linear.

Linear because it’s a constant rate

Since it’s doubled, and doesn’t go at a constant rate, it is a exponential function

Exponential since it increases by a multiplicative rate. It’s not constant

You might be interested in

Ben, Tim, and Sam have to do a certain job. Ben can finish the job in 5 hours. Tim can finish the job in 6 hours. Sam can finish

Brut [27]

x is 7.5 hours

Step-by-step explanation:

Ben, Tim, and Sam have to do a certain job

Ben can finish the job in 5 hours
Tim can finish the job in 6 hours
Sam can finish the job in x hours
The three of them can finish the job in 2 hours if they work together

We need to find x

∵ Ben can finish the job in 5 hours

∴ The rate of Ben = $\frac{1}{5}$

∵ Tim can finish the job in 6 hours

∴ The rate of Tim = $\frac{1}{6}$

∵ Sam can finish the job in x hours

∴ The rate of Sam = $\frac{1}{x}$

They will working together to finish the job in two hours, that means the sum of their rate is equal to 1/2

∵ They can finish the job in 2 hours if they work together

∴ $\frac{1}{5}+\frac{1}{6}+\frac{1}{x}=\frac{1}{2}$

To add the fractions find the LCM for all denominators to make all fractions with same denominators

∵ The LCM of 5, 6 ans x is (5 × 6 × x) = 30 x,

- Divide it by each denominator to find the new numerators

∵ 30 x ÷ 5 = 6 x , 30 x ÷ 6 = 5 x , 30 x ÷ x = 30

- Change all the denominators to 30 x and then write the new

numerators of each fraction

∴ $\frac{6x}{30x}+\frac{5x}{30x}+\frac{30}{30x}=\frac{1}{2}$

Add the numerators and put the sum over 30 x

∵ $\frac{11x+30}{30x}=\frac{1}{2}$

- By using cross multiplication

∴ 2(11 x + 30) = 1(30 x)

- Simplify the both sides

∴ 22 x + 60 = 30 x

- Subtract 22 x from both sides

∴ 60 = 8 x

- Divide both sides by 8

∴ 7.5 = x

∴ The value of x is 7.5 hours

x is 7.5 hours

Learn more:

You can learn more about the word problems in brainly.com/question/10712420

#LearnwithBrainly

5 0

3 years ago

First, she walks 4 blocks

antoniya [11.8K]

Answer:.

W. T. F.

it has nothing to do with a dog!?!?!?!?!!?!?!?!?!?!?

5 0

3 years ago

Please help me thanks

BabaBlast [244]

Answer:

16.7

Step-by-step explanation:

We can use the Pythagorean theorem, a^2 + b^2 = c^2.

a = 11

c = 20

11^2 + b^2 = 20^2

121 + b^2 = 400

b^2 = 279

b = sqrt(279) = 16.7

5 0

3 years ago

Gina is cutting construction paper into rectangles for a project. She needs to cut one rectangle that is 12 inches by 14 1/4 inc

Fittoniya [83]

Answer:

278.63 square inches

Step-by-step explanation:

Gina needs to cut two types of rectangles.

Dimensions of one rectangle is given as,

Width = 12 inches

Length = $14\frac{1}{4}$ = $\frac{57}{4}$ inches

So, the area of this rectangular paper will be

Area = width × length = $12\times \frac{57}{4}$ = 171 inches²

Dimensions of the other rectangular paper has been given as

Width = $10\frac{1}{4}$ = $\frac{41}{4}$ inches

Length = $10\frac{1}{2}$ = $\frac{21}{2}$ inches

So, the area of this rectangle will be

Area = width × length = $\frac{41}{4} \times \frac{21}{2}$ = 107.63 inches²

Thus the total area she need to cut = 171 + 107.63 = 278.63 square inches.

6 0

3 years ago

Read 2 more answers

Please Help! <br> Factor the expression:<br> x2 − 28x + 52

Drupady [299]

Answer:

(x-2)(x-26)

Step-by-step explanation:

x^2-2x-26x+52

x(x-2)-26(x-2)

(x-2)(x-26)

8 0

3 years ago

Read 2 more answers