Suppose that y is directly proportional to x. Find the constant of proportionality k if y = 5.2 when x = 4. (Write your antwer as a decimal.) Using the k from above write the variation equation in terms of x. y = Using the k from above find y given that x = 28. y = If needed, round answer to 3 decimal places. Enter DNE for Does Not Exist, oo for Infinity D Video

Question

28-10-2022
Mathematics

contestada

Suppose that y is directly proportional to x. Find the constant of proportionality k if y = 5.2 when x = 4. (Write your antwer as a decimal.) Using the k from above write the variation equation in terms of x. y = Using the k from above find y given that x = 28. y = If needed, round answer to 3 decimal places. Enter DNE for Does Not Exist, oo for Infinity D Video

Respuesta :

Otras preguntas

What is the difference between an implied warranty and an extended warranty? A. An implied warranty is free, and an extended warranty costs the consumer money.

The generation of action potentials in olfactory neurons initiated by odors drawn into the nasal cavity is an example of.

PLEASE HELP ASAP!!!!!!!!!!!! Ari mixed 2 1/4 cups of red grapes with 1/2 cups of green grapes. He then divided the grapes into bags with 3/4 cup of mixed grapes

A certain space heater that is connected across 220 V and dissipates 1477 W of power in the form of electromagnetic radiation. What is the resistance of the hea

Natalie is responsible for supplying drinking water for each member of the football team during all the games they play at her school. She knows that they will

A truck is pulling a trailer down a highway. The total mass of the trailer is 360kg and the force at which the truck is pulling is 7.200N, What is the accelerat

One of the greatest assets of a second Terry is often his/her ability on the keyboard of a computer. Miss Garcia has been recognized as the most outstanding typ

2. According to FB statistion, who is MOST likely to commit a crime? 1.A 63 year old man 2.A 20 year old girl 3.A 45 year old woman 4. A 17 year old boy

This is a pattern that is repeated in a design A. Gesture B. Motif C. Brushstroke D. Color field guys i really need help this is my 5th test i failed please hel

solve for brainliest :)

NizarI308413 NizarI308413 · Answer 1 · 2022-10-28T22:28:51+02:00

From the statement of the problem we know that y is proportional to x, so the equation of y in terms of the variable x, constitutes a linear equation of the form:

[tex]y=k\cdot x[/tex]

Where k is the slope.

1) We also know that for y = 5.2 the variable x takes the value x = 4, replacing these in the equation above we have:

[tex]\begin{gathered} 5.2=k\cdot4 \\ k=\frac{5.2}{4} \\ k=1.3 \end{gathered}[/tex]

2) Replacing the value of k in the first equation we get:

[tex]y=1.3\cdot x[/tex]

3) Now, given the last equation and a value x = 28 we find the value for y:

[tex]\begin{gathered} y=1.3\cdot28 \\ y=36.4 \end{gathered}[/tex]

In summary, the answers are:

[tex]\begin{gathered} k=1.3 \\ y=1.3x \\ y=36.4 \end{gathered}[/tex]