Which situation can be modeled by the inequality 7x + 6 < 30? CLEAR
SUBMIT
A landscaper needs at least 30
pounds of fertilizer for lawns.
Each lawn uses 7 pounds of
fertilizer. What is the greatest
number of lawns the landscaper
can work on?
Dai must complete a project in
less than 30 days. He works on
the project 7 days each week.
To date, 6 days have already
passed. What is the greatest
number of weeks Dai has left to
complete the project?
Miranda can spend no more
than $30. She spends $7 for
lunch and $6 for a subway fare.
What is the greatest amount
Miranda can spend on coffee?
A chef serves less than 30
steaks during dinner time. For 6
hours he serves the same
number of steaks each hour.
Then he serves 7 more steaks.
What is the greatest number of
steaks the chef served per
hour?
W

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.

answer: the correct answer is -32

step-by-step explanation: