Jody is working two jobs, one as a carpenter and one as a website designer. He can work at most 50 hours per week and makes $35 per hour as carpenters and $75 per hour as a website designer. He wants to make at least $2350 per week but also wants to work at least 10 hours per week as a carpenter. Let c represent the hours he works as a carpenter and let w represent the hours he works as a website designer. Write an inequality that models that he can wants to make at least $2350 per week.

75w + 35c  ≥ 2000

Step-by-step explanation:

Please read through the full explanation to fully understand :)

Here is what we know:

-  Jody gets $35 per hour working in carpentry (c)

-  Jody gets $75 per hour working as a website designer (w)

-  He wants to make at least (≤) $2350 per week

-  Jody wants to work at least 10 hours in carpentry (c) which is $35 an hour

Now that we have listed what we know, we must find out how much money Jody will make working 10 hours in carpentry for $35 an hour.

35 x 10 = 350

Now, subtract 350 from the total minimum Jody wants to make per week.

2350 - 350 = 2000

Perfect! So, because this is an inequality, we don't need to solve it all the way, we just have to make an equation out of what we know.

75w + 35c  ≥ 2000

Broken down, the variable of 75 (w) represents the unknown number of hours that Jody works as a website designer. The coefficient 75 represents the rate per hour working as a website designer. Same thing goes for 35c, it is the amount he makes per hour working as a website designer and the unknown number of hours. The inequality symbol ≥ means equal too or more than. Lastly, 2000 represents the total he wants to make, which is the total after subtracting 10 hours of working as a contractor (350).

Hope this helps! If you have any additional questions, please don't hesitate to ask me or your teacher to be sure you understand this topic. Stay safe, and please mark brainliest!  :)

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be

step-by-step explanation: