Emma earns $6 each time she mows the lawn and $8 per hour for babysitting. she is saving up to buy a new pair of jeans that cost $48. if she mows the lawn x times and babysits for y hours, which graph shows the amount of work she needs to complete to earn at least enough to purchase the new jeans?

To graph this we find the x- and y-intercepts. The x-intercept would be at 8 and the y-intercept would be at 6.

Step-by-step explanation:

The equation is 6x+8y=48. An x-intercept is the point where the data crosses the x-axis. All points on this line will have a y-coordinate of 0, so we replace y with 0 and solve:

6x+8(0)=48

6x=48.

Divide both sides by 6:

6x/6=48/6

x=8.

We go to 8 on the x-axis and plot the point.

A y-intercept is the point where the data crosses the y-axis. All points on this line will have an x-coordinate of 9, so we replace x with 0 and solve: 6(0)+8y=48

0+8y=48

8y=48.

Divide both sides by 8:

8y/8 = 48/8

y=6.

We go up to 6 on the y-axis and plot the point. We then draw a line through these two points.

The graph in the attached figure

Step-by-step explanation:

Let

x------> the number of times Emma mows the lawn

y------> the number of hours Emma babysits

we know that

------> inequality that represent the situation

The solution is the shade area above the solid line between the values of x and y positive

The equation of the solid line is equal to

The slope of the line is negative

The y-intercept of the line is the point (value of y when the value of x is equal to zero)

The x-intercept of the line is the point (value of x when the value of y is equal to zero)

so

The graph in the attached figure

Here is the full question if you guys did not understand the person asking it above:

The graph in the attached figure

Step-by-step explanation:

Let

x------> the number of times Emma mows the lawn

y------> the number of hours Emma babysits

we know that

------> inequality that represent the situation

The solution is the shade area above the solid line between the values of x and y positive

The equation of the solid line is equal to

The slope of the line is negative

The y-intercept of the line is the point (value of y when the value of x is equal to zero)

The x-intercept of the line is the point (value of x when the value of y is equal to zero)

so

The graph in the attached figure

Here is the full question if you guys did not understand the person asking it above:

Cost of 7 gallons=$24.50

Cost of 1 gallon=24.50/7=3.5

Cost of 15 gallons=15*3.5=52.5

Cost of 15 gallons will be $52.5

For every 8 cars there are 7 trucks

Therefore,

Cars:Truck=8:7

Answer is B)8:7

The solution is in the following image

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.