Carlos estimates that he will need to earn at least $700 to take his girlfriend to the prom. carlos works two jobs as show in the table jobs main st. deli $8 per hour and babysitting $6 per hour. a. write an inequality to represent this situation b. graph the inequality. c. will he make enough money if he works 50 hours at each job?

The required inequality is:

The required graph is shown in figure 1.

Yes, he make enough money.

Step-by-step explanation:

Consider the provided information.

Part (A)

Carlos estimates that he will need to earn at least $700 to take his girlfriend to the prom.

Let the number of hours worked in Deli is x and the number of hours worked for babysitting is y.

Deli $8 per hour and babysitting $6 per hour. Carlos need to earn at least 700.

For at least use the inequity ≥

The required inequality is:

Part (B)

Rewrite the inequity as an equation to find the the x and y intercept.

Substitute x=0 in the above

Substitute y=0 in the above

Use the point (0,116.67) and (87.5,0) to draw the graph.

Since the sign of inequality is greater than equal to, so shade the graph above the line. Use solid line as the sign of inequality is ≥.

Thus, the required graph is shown in figure 1.

Part (C)

We need to find he make enough money if he works 50 hours at each job.

Substitute x=50 and y=50 in the inequality.

Which is true.

Hence, he make enough money.

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c

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