Question

the glee club has $90 to spend on pens and pencils. each pen costs $0.75 and each pencil costs $0.15. write an equation that describes the numbers of pens, x, and pencils, y, that the glee club can buy. what is the greatest number of each type of writing tool that the club can buy? equation: (\square)x + (\square)y = (\square) greatest number of pens: \square greatest number of pencils: \square question 1 pts perpendicular to the graph of

Explanation:

Step1: Form the cost equation

Total cost = cost per pen×number of pens + cost per pencil×number of pencils → $0.75x + 0.15y = 90$

Step2: Calculate max pens (y=0)

Set y=0: $0.75x = 90$ → $x = \frac{90}{0.75} = 120$

Step3: Calculate max pencils (x=0)

Set x=0: $0.15y = 90$ → $y = \frac{90}{0.15} = 600$

Answer:

0.75x + 0.15y = 90; 120; 600