Is y=7.5x a proportional relationship and why

Answers

Answer 1

Answer: Direct Proportion functions look like this:

y=kx

'k' is the constant of proportionality and in this case its 7.5 or 15/2.

--------------------------------------------

When x=1, y=7.5
When x=2, y=15
When x=3, y=22.5

Therefore y is directly proportional to x.

--------------------------------------

DIRECT PROPORTION EXPLAINED:

Say a football costs £7.50. If you buy one football you'll have to pay out £7.50, but if you you buy two footballs you'll have to pay out £15.00. Therefore the cost of the football(s) is directly proportional to the amount of footballs you buy. C=cost, f=football(s) and C∝f, therefore C=kf, but as k=7.5, C=7.5f.

INVERSE PROPORTION EXPLAINED:

If it were to take 8 hours for one bricklayer to set up a wall, how long would it take for two bricklayers to set up a wall? The answer in this case would be 4 hours.

T=time to set up a wall
b=bricklayer(s)

Therefore T∝1/b, and T=k/b. In this case k=8 so T=8/b.

When b=1, T=8.
When b=2, T=4.

We'd say that the time it would take for bricklayers to set up a wall would be inversely proportional to the amount of bricklayers available.

Related Questions

Y equals 3XX equals negative 2Y +70
at Mary's party 4/8 of the guest had chocolate ice cream and 3/8 of the guest had strawberry ice cream . what fraction of the ice cream was either chocolate or strawberry
PLEASE ANSWER ASAP!!! ANSWER MUST MUST MUST MMMUUUUSSSSSTTTTTT BE WITH AN EXPLANATION IN ORDER TO GET POINTS AND THE BRAINLIEST ANSWER!!!Which shows the dimensions of two rectangular prisms that have volumes of 240 ft3 but different surface areas? A. 8 ft by 5 ft by 6 ft; 5 ft by 6 ft by 8 ft B. 8 ft by 5 ft by 6 ft; 10 ft by 8 ft by 3 ft C. 15 ft by 8 ft by 2 ft; 6 ft by 4 ft by 15 ft D. 12 ft by 6 ft by 5 ft; 8 ft by 10 ft by 3 ft
Find the value of z.A. 6B. 3C. 4D. 2
Jason and his 3 roommates share the cost of the electric bill evenly

How do I write a proof in geometry?

Answers

first you have to make a chart with 2 sides to it. then on one side you have to show your steps of how to solve and on the other side of the line,you have to put what that step means. for instance if your substituted, youd out "substitution " :)hope this helped

Answer:

1. Look at the givens and based on those, continue on

2. Make a chart

3.only work off what you are given, don't diverge from doing so.

Step-by-step explanation:

Write a power represented with a positive base and a positive exponent whose value is less than the base.

Answers

For this case we must write a number of the form:

Where,

a: power base

b: exponent of the power

We must write a power that complies with the following inequality:

Substituting values we have, for example:

Answer:

a power represented with a positive base and a positive exponent whose value is less than the base is:

$10 ^ 2$

10 2........2♤}[[{}0088

Please help!!!!!!!!!!!!1) You have $20 in savings at the bank.Each week,you add $2 to your savings Let y represent the total amount of money you have saved at the end of x weeks.Write an equation to represent this situation, and identify the slope of the equation. What does that number represent?(aka interpret the slope)

Show ALL work!!!!!!!!!!!!!!!!!!! please help

Answers

$x-weeks\ny-total\ money\n2x-saving\ every\ week\n\n\boxed{y=2x+20}$

so at first you have 20
so
y= money saved so
so each week times 2 +20 =total because
you started with 20 then
x weeks times 2 gives you how much you earned so
y=2x+20
slope=2
(slope intercept form=y=mx+b where m=slope)

Let set A = {1,3,5,7} and set B = {1,2,3,4,5,6,7,8}Which notation shows the relationship between set A and set B? (2 points)

Answers

Step-by-step explanation:

A elements lies on B.............

a store is selling hats. All regular price hats are 20% off. Lisa, Carly, and Sam each find a hat to buy. Sandy finds a sun visor that was originally $12.50. What is the sale price?

Answers

$12.5*(100-20)/(100)=(1000)/(100)=\$10$

The price will be $10

$10

Step-by-step explanation:

<3 yw

Elliot and kay both bought the same lunch box for $6. Elliot lives in Oklahoma and pays 4.5% in sales tax, while Katy lives in South Carolina and pays 6% in sales tax. how much more did Katy pay in sales tax than Elliot a.$0.09
b.$0.27
c.$0.63
d.$0.36

Answers

Multiply the price by the amount of sales tax and then subtract the two:

Elliot:
4.5% = 0.045
6 * 0.045 = 0.27 sales tax

Katy:
6% = 0.06
6*0.06 = 0.36 sales tax

Difference = 0.36 - 0.27 = 0.09

The answer is A.

Other Questions

The time shown on the clock is 11:05 starting at this time approximately what time will it be when the hands from an obtuse angle

How many milliliters if soda does a 2 liter bottle hold show work

What do you have to divide by to get from 60 to 50??

Whats the physics of a long board???? answer quickly!!!