At a basketball game, a vender sold a combined total of 145 sodas and hot dogs. the number of hot dogs sold was 55 less than the number of sodas sold. find the number of sodas sold and the number of hot dogs sold.

Sodas: 100

Hot dogs: 45

Step-by-step explanation:

Set sodas as s and hot dogs as d

s+d=145

d=s-55

s+s-55=145

2s=200

s=100

d=100-55

d=45

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.