Tom works at an aquarium shop on Saturdays. One Saturday, when Tom gets to work, he is asked to clean a 175-gallon reef tank. His first job is to drain the tank. He puts a hose into the tank and starts a siphon. Tom measures the amount of water that is draining out and finds out that the rate is 50 gallons of water per hour. What is the slope in this situation?( the rate of change, think about what is constantly changing?)

What is the y-intercept? ( the initial value, think about here did it start)

Use the slope and y-intercept to write a linear equation that represents this situation. (y=mx+b) m = slope and b = y-intercept

If Tom works for 4 hours. Will the tank finish draining before he leaves work? Explain your answer.

77

step-by-step explanation:

168

step-by-step explanation:

i am pretty sure that the answer is 168

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.

191 students play sports and ninety-seven 10th graders were surveyed.

step-by-step explanation: