Jasmine set up counters at four major intersections, keeping track of how many cars passed by each on a daily basis over the course of several days. Her findings are shown in the chart below. A graph titled Cars Passing Major Intersections has day on the x-axis and number of cars (times 10) on the y-axis. Huffman has 1 increase, Price has 3 increases, Mason has 4 increases, and Pearl has 3 increases. Which intersection had the greatest number of increases in traffic from day to day? a. Huffman b. Price c. Mason d. Pearl

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.

$54.99

step-by-step explanation:

$54.99 includes 500 min. if she does not exceed 500 min then her bill is $54.99

this is the formula: v = the value of investment at the end of the time period

p = the principal amount (the initial amount invested)

r = the annual interest rate

n = the annual frequency of compounding (how many times a year interest is added)

t = the number of years the money is invested

^ means raise to the power of

c.

step-by-step explanation: