At the gas station, each liter of gas costs $ 3 $3dollar sign, 3, but there's a promotion that for every beverage you purchase you save $ 0.20 $0.20dollar sign, 0, point, 20 on gas.

Answers

Answer 1
Answer:

The complete question is:

At the gas station, each liter of gas costs $3dollar but there's a promotion that for every beverage you purchase you save $0.20 dollar on gas. Is your total savings on gas proportional to the number of beverages you purchase?

Answer:

  • Yes, your total savings on gas is proportional to the number of beverages you purchase.

Explanation:

What is a proportional relationship?

A proportional relationship, also known as direct relation, between two variables exists when the ratio between every pair of data is constant.

In this case the variables are:

  • number of beverage purchased
  • savings

Thus, as per every beverage purchase you save $ 0.20 the ratio of total savings to the number of beverage purchases is:

  • savings / beverages purchase = $ 0.20 / beverage

That means that you can determine the savings by multipliying the number of beverages times $ 0.20.

For proportional relationships it is easy to build a table that shows the behavior of the variables. This shows you that:

Number of beverages   savings    ratio

         1                              $ 0.20      $0.20 / 1 beverage = 0.20

         2                             $ 0.40      $0.40 / 2 beverages = 0.20

         3                             $ 0.60       $0.60 / 3 beverages = 0.20

         4                             $ 0.80       $0.80 / 4 beverages = 0.20


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its the last choice cuz its moving in a positive direction, the slope is 1, and the y intercept is 3

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Answer:

If it does not pass through the origin, or is anything other than linear, it is not proportional

1.) Non-proportional

2.) Proportional

3.) Non-proportional

4.) Non-proportional

5.) Proportional

6.) Proportional

7.) Non-proportional

10.) Non-proportional

11.) Non-proportional

Answer:

Step-by-step explanation:

N means Non-Proportional

P means Proportional

1.N

2.P

3.N

4.N

5.P

6.N

7.N

10.N

11.N

Consider the function f(x)=6x+5
(A) find it’s average rate of change by changing x=1 to x=5

Answers

Answer: I really don’t know

Step-by-step explanation: I need help with this as well. I’m really sorry if you were looking for a real answer

Final answer:

The average rate of change of the function f(x) = 6x +5 over the interval x = 1 to x = 5 is calculated with the formula Δf/Δx and is found to be 6.

Explanation:

In the given function, f(x) = 6x + 5, the average rate of change is calculated by the formula Δf/Δx, which refers to the change in the function value over the change in the x-value. Plugging in the given values, we have:

Δf = f(5) - f(1) = [6(5) + 5] - [6(1) + 5]

Δx = 5 - 1

So, the average rate of change is Δf/Δx = [30 + 5 - 6 - 5]/(5 - 1) = 24/4 = 6.

Learn more about Rate of Change here:

brainly.com/question/31226174

#SPJ2

Find the value of 21-18 3 2. O1 2 O2 O9 18​

Answers

Thank you for asking your question!

Have more? Just ask!

Answer:

9

Explanation:

18 / 3 = 6 x 2 = 12.

21 - 12 = 9

Hope this helps!

Answer:

3

,

3

,

2

O

,

2

O

2

,

O

9

,

18

Step-by-step explanation:

Please help. I have been stuck for days now

Answers

Answer:

∠RWT

Step-by-step explanation:

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Write the equation of the function g(x) if g(x) = f(x+2) +4 and f(x) = x^3 -7

Answers

f(x) = x³ - 7
f(x + 2) = (x + 2)³ - 7
f(x + 2) = (x + 2)(x + 2)(x + 2) - 7
f(x + 2) = (x(x + 2) + 2(x + 2))(x + 2) - 7
f(x + 2) = (x(x) + x(2) + 2(x) + 2(2))(x + 2) - 7
f(x + 2) = (x² + 2x + 2x + 4)(x + 2) - 7
f(x + 2) = (x² + 4x + 4)(x + 2) - 7
f(x + 2) = (x²(x + 2) + 4x(x + 2) + 4(x + 2)) - 7
f(x + 2) = (x²(x) + x²(2) + 4x(x) + 4x(2) + 4(x) + 4(2)) - 7
f(x + 2) = (x³ + 2x² + 4x² + 8x + 4x + 8) - 7
f(x + 2) = (x³ + 6x² + 12x + 8) - 7
f(x + 2) = x³ + 6x² + 12x + 8 - 7
f(x + 2) = x³ + 6x² + 12x + 1

g(x) = f(x + 2) + 4
g(x) = (x³ + 6x² + 12x + 1) + 4
g(x) = x³ + 6x² + 12x + 1 + 4
g(x) = x³ + 6x² + 12x + 5