An employee earns $7.00 an hour for the first 35 hours worked in a week and $10.50 for any hour over 35. one week's paycheck (before deduction) was for $308.00. how many hours did the employee work

the employee worked for 41 hours

Step-by-step explanation:

Let x represent the total number of hours that the employee worked. An employee earns $7.00 an hour for the first 35 hours worked in a week and $10.50 for any hour over 35. Let y represent the amount earned for x hours. Therefore

y = 7×35 + 10.5(x - 35)

y = 245 + 10.5x - 367.5

One week's paycheck (before deduction) was for $308.00. This means that y = $308.00. Therefore,

308 =245 + 10.5x - 367.5

308 = 10.5x - 122.5

10.5x = 308 + 122.5 = 430.5

x = 430.5/10.5

x = 41

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.