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A student charges $31.50 for 3 hours of babysitting. If the amount the student earns babysitting is proportional to the hours sp

vodomira [7]

Answer:

C) y is equal to 10.5x

Step-by-step explanation:

$31.50 is charged for 3 hours so, for 1 hour we need to divide 31.50 by 3, which results in 10.50. So 1 hour of babysitting is $10.50

this is because x is equal to the number of hours they babysit. we do not know the actual so it is replaced with x

and y is equal to the sum of 10.5x because we multiply the number of hours worked, and the amount per hour.

7 0

3 years ago

The larger of two numbers is four times the smaller number, and their difference is 18. Find the two numbers.

podryga [215]

Answer:

x = 12 , y = 10

Step-by-step explanation:

Let x , y are two numbers.

x > y

1 ) Three times the greater is 18 times their

difference

3x = 18( x - y )

x = 6( x - y )

x = 6x - 6y

6y = 5x

y = 5x/6 ——-( 1 )

2 ) 4 times the smaller is 4 less than twice

the sum of the two

4y + 4 = 2 ( x + y )

2y + 2 = x + y

y = x -2 ——( 2 )

From ( 1 ) and ( 2 ) ,

5x/6 = x -2

( 5x /6 ) - x = -2

( 5x - 6x ) /6 = -2

-x = -12

x = 12

Put x = 12 in equation ( 2 ) , we get

y = 12 - 2

y = 10

Therefore ,

x = 12 , y = 10

7 0

3 years ago

You saved $300 to spend over the summer. You decide to budget $50 to spend each week.

Oduvanchick [21]

Answer:

Part c)

The Slope of the line is: m=-50 and represents the amount of money spent per week.

Part d)

The y-intercept is: c=300 and represents the maximum money we have that can be spend over the weeks (i.e. our maximum budget alowed).

Step-by-step explanation:

To solve this question we shall look at linear equations of the simplest form reading:

$y = mx+c$ Eqn(1).

where:

$y$ : is our dependent variable that changes as a function of x

$x$ : is our independent variable that 'controls' our equation of y

$m$ : is the slope of the line

$c$ : is our y-intercept assuming an $x$ ⇔ $y$ relationship graph.

This means that as $x$ changes so does $y$ as a result.

Given Information:

Here we know that $300 is our Total budget and thus our maximum value (of money) we can spend, so with respect to Eqn (1) here:

$c=300$

The budget of $50 here denotes the slope of the line, thus how much money is spend per week, so with respect to Eqn (1) here:

$m=50$

So finally we have the following linear equation of:

$y= - 50x + 300$ Eqn(2).

Notice here our negative sign on the slope of the line. This is simply because as the weeks pass by, we spend money therefore our original total of $300 will be decreasing by $50 per week.

So with respect to Eqn(2), and different weeks thus various $x$ values we have:

Week 1: $x=1$ we have $y= -50 *1 + 300 = -50 +300 = 250$ dollars.

Week 2: $x=2$ we have $y= -50 *2 + 300 = -100 +300 = 200$ dollars.

Thus having understood the above we can comment on the questions asked as follow:

Part c)

The Slope of the line is: $m=-50$ and represents the amount of money spent per week.

Part d)

The y-intercept is: $c=300$ and represents the maximum money we have that can be spend over the weeks (i.e. our maximum budget alowed).

4 0

3 years ago

Someone painted 2/5 of a wall with 1/3 of a gallon of paint how much will they need to paint the rest of the wall? math problem

Allisa [31]

2/5+1/3=3/8(paint)-rest

7 0

3 years ago

What’s the slope of C=50t+100

balandron [24]

Answer:

50

Explanation:

This equation is in y = mx+b form.

The m is the slope and the b is the y intercept. So, 50 is the slope and 100 is the y-intercept.

6 0

3 years ago

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