Matthew would like to join an online book club that costs $84 per year. If he signs up for an automatic renewal, he will get 5% off his membership. If he signs up in July, he can get an additional 20% off. In addition, for every 2 people he refers to the club, he can get $5 off his membership. How many people does Matthew refer if he pays less than $48 for his membership?
hard to say.
does he go for the auto renewal?
does he sign up in July?
he signs up in july
so his cost will be 84 * 0.80 - 5(n/2) if he refers n people. So now we have
84 * 0.80 - 5(n/2) < 48
n > 7.68
so he referred at least 8 people
To determine how many people Matthew refers, we need to calculate the total discounts he receives when signing up for the online book club.
First, let's calculate the discount Matthew receives for signing up for an automatic renewal. The membership costs $84 per year, and he gets a 5% discount, which is $84 * 0.05 = $<<84*0.05=4.20>>4.20 off.
Next, let's calculate the discount Matthew receives for signing up in July. The membership costs $84 per year, and he gets a 20% discount, which is $84 * 0.20 = $<<84*0.20=16.80>>16.80 off.
So far, Matthew has received a total discount of $4.20 + $16.80 = $<<4.20+16.80=21.00>>21.00.
To find out how many people Matthew needs to refer in order to pay less than $48 for his membership, we can set up the following equation:
$84 - $21 - $5x < $48
Where x represents the number of people Matthew refers.
Now, let's solve the equation to find the value of x:
$84 - $21 - $5x < $48
$63 - $5x < $48
-$5x < $48 - $63
-$5x < -$15
x > -$15 / -5
x > 3
Therefore, Matthew needs to refer more than 3 people to pay less than $48 for his membership.