Diego has two jobs. He works 3 hours at the library each day, making $8 per hour. In addition, he works at a coffee shop, making $7.50 per hour. At the coffee shop, he works more than 4 hours but less than 7 hours each day Diego needs to make at least $70 daily to afford his living expenses.
Which of the following systems represents the constraints given in this scenario?
Let I represent the number of hours he works at the library
and c represent the number of hours he works at the coffee shop.

A: l = 3
4 < c < 7
8l + 7.50 ≥ 70

B: l = 3
4 ≤ c ≤ 7
8l + 7.50 ≥ 70

C: 1 = 3
4 ≤ c ≤ 7
7.50l + 8c ≤ 70

D: 1=3
4 < c < 7
7.50l + 8c ≥ 70

Step-by-step explanation:

Target income = at least $70 daily  

So the system as per above parameters:

Correct option is D

step-by-step explanation:

what grade level is this? need to know so i can look in my old textbooks!

answer:

given the linear inequality :

add 2y to both sides we get;

simplify:

add 12 to both sides of an equation;

simplify:

divide both sides by 2 we get;

or

the related equation for the inequality equation [1] is;

y-intercepts defined as the graph crosses the y-axis.

substitute x =0 in [2] to solve for y;

y = 6

x-intercepts defined as the graph crosses the x-axis.

substitute value y = 0 to solve for x;

subtract 6 from both sides we get

multiply both sides by 2 we get;

or

x = -12

now, plot these point (0, 6) and (-12, 0) on graph as shown below and shade the graph below the solid line.