Question

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?

Answer 1

Answer:

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

$6x+8y\geq 48$ ------> 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 $6x+8y=48$

The slope of the line is negative $m=-\frac{3}{4}$

The y-intercept of the line is the point $(0,6)$ (value of y when the value of x is equal to zero)

The x-intercept of the line is the point $(8,0)$ (value of x when the value of y is equal to zero)

so

The graph in the attached figure

Answer 2

Answer:

tha first graph

Step-by-step explanation: